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CBSE Questions for Class 5 Maths Shapes And Angles Quiz 2 - MCQExams.com
CBSE
Class 5 Maths
Shapes And Angles
Quiz 2
Measure of an obtuse angle is:
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$$> 0^{\circ}, < 90^{\circ}$$
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$$> 90^{\circ}, < 180^{\circ}$$
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$$> 0^{\circ}, < 270^{\circ}$$
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$$> 0^{\circ}, < 180^{\circ}$$
Explanation
Measure of an obtuse angle is always greater than $$0^o$$ and less than $$180^o$$.
Therefore, it can be written as
Obtuse angle is $$>$$ $$90^{\circ}$$ & $$<$$ $$180^{\circ}$$
$$\displaystyle 170^{0}$$ is an example of-
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Acute
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Right
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Obtuse
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None of these
Explanation
angles greater than 90 degrees and less than 180 degrees are known as obtuse angles..
hence 170 degrees is an example of obtuse angle..
Which of the following is not an obtuse angle ?
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$$\displaystyle { 127 }^{ o }$$
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$$\displaystyle { 149 }^{ o }$$
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$$\displaystyle { 175 }^{ o }$$
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$$\displaystyle { 182 }^{ o }$$
Explanation
Acute angle is the angle which is greater than $$\displaystyle { 0 }^{ \circ }$$ and less than $$\displaystyle { 90 }^{ \circ}$$.
Obtuse angle is the angle which is greater than $$\displaystyle { 90}^{ \circ }$$ and less than $$\displaystyle {180 }^{ \circ }$$.
Right angle is the angle which is equal to $$90^{\circ}$$.
Reflex angle is the angle which is greater than $$\displaystyle {180}^{ \circ }$$ and less than $$\displaystyle {360 }^{ \circ }$$.
$$\therefore \displaystyle { 182 }^{ \circ }$$ is a reflex angle, so it is not an obtuse angle.
Range of an obtuse angle is:
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$$[0˚, 90˚)$$
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$$(0˚, 90˚]$$
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$$[90˚, 180˚)$$
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$$(90˚, 180˚)$$
Explanation
Acute angle is the angle which is greater than $$\displaystyle { 0 }^{ o }$$ and less than $$\displaystyle { 90 }^{ o }$$.
Obtuse angle is the angle which is greater than $$\displaystyle { 90}^{ o }$$ and less than $$\displaystyle {180 }^{ o }$$.
Right angle is the angle which is equal to $$90^o$$.
Reflex angle is the angle which is greater than $$\displaystyle {180}^{ o }$$ and less than $$\displaystyle {360 }^{ o }$$.
If one angle at a point is reflex angle, the other at that point may be :
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Acute angle
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Obtuse angle
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Straight angle
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Acute or obtuse angle
Explanation
We know, the angle formed at a point is $$\displaystyle { 360 }^{ o }$$.
When one of angle is reflex, it range from $$\displaystyle { 180 }^{ o }$$ to $$\displaystyle { 360 }^{ o }$$.
If angle is $$\displaystyle { 200 }^{ o }$$ then the other angle is $$\displaystyle { 160 }^{ o }$$, i.e obtuse angle.
If one reflex angle is $$\displaystyle { 300 }^{ o }$$ then other angle is $$\displaystyle { 60 }^{ o }$$ i.e acute angle.
Hence, the option $$D$$ is correct.
What is the range of reflex angle?
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Greater than zero but less than $$\displaystyle { 90 }^{ o }$$
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Greater than $$\displaystyle { 90 }^{ o }$$ but less than $$\displaystyle { 180 }^{ o }$$
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Greater than $$\displaystyle { 180 }^{ o }$$ but less than $$\displaystyle { 360 }^{ o }$$
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Equal to $$\displaystyle { 360 }^{ o }$$
Explanation
Acute angle is the angle which is greater than $$\displaystyle { 0 }^{ o }$$ and less than $$\displaystyle { 90 }^{ o }$$.
Obtuse angle is the angle which is greater than $$\displaystyle { 90}^{ o }$$ and less than $$\displaystyle {180 }^{ o }$$.
Right angle is the angle which is equal to $$90^o$$.
Now, by definition, reflex angle is the angle which is greater than $$\displaystyle {180}^{ o }$$ and less than $$\displaystyle {360 }^{ o }$$.
That is,
angles
larger than a straight
angle
but less than $$1$$ turn (between $$180^o$$ and $$360^o$$) are called
reflex angles.
Therefore, the range of reflex angle is greater than $$180^o$$ but less than $$360^o$$.
Hence, option $$C$$ is correct.
Which of the following is a reflex angle?
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$$\displaystyle { 180 }^{ o }$$
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$$\displaystyle { 360 }^{ o }$$
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$$\displaystyle { 204 }^{ o }$$
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$$\displaystyle { 135 }^{ o }$$
Explanation
We know, reflex angle must be between $$\displaystyle { 180 }^{ o }$$ and $$\displaystyle { 360 }^{ o }$$. It can't be equal to $$\displaystyle { 180 }^{ o }$$ or $$\displaystyle { 360 }^{ o }$$ as these are straight and complete angle, respectively.
Here, only $$204^o$$ is greater than $$180^o$$ and less than $$360^o$$.
Therefore, option $$C$$ is correct.
State whether the following statement is true or false?
All right angles are equal
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True
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False
Explanation
Measure of any right angle is $$90^o$$.Hence all right angles are congruent,
Reflex angle is greater than _____ but less than _____angle.
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Complete, acute
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Acute, Straight
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Obtuse, Straight
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Straight, Complete
Explanation
Reflex angle is the angle which is greater than $$\displaystyle {180}^{ o }$$ and less than $$\displaystyle {360 }^{ o }$$.
Straight angle is $$\displaystyle { 180 }^{ o }$$ and complete angle is $$\displaystyle { 360 }^{ o }$$.
So reflex angle is greater than straight angle and less than complete angle.
Sum of two obtuse angle results in:
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Acute angle
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Right angle
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Obtuse angle
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Reflex angle
Explanation
Obtuse angle ranges from $$\displaystyle { 90 }^{ o }$$ to $$\displaystyle { 180 }^{ o }$$
So, sum of least obtuse angle is $$\displaystyle { 91 }^{ o }+{ 91 }^{ o }={ 182 }^{ o }$$, which is a reflex angle.
Now, sum of maximum obtuse angle is $$\displaystyle { 179 }^{ o }+{ 179 }^{ o }={ 358 }^{ o }$$, which is also a reflex angle.
Acute angle is the angle which is greater than $$\displaystyle { 0 }^{ o }$$ and less than $$\displaystyle { 90 }^{ o }$$.
Obtuse angle is the angle which is greater than $$\displaystyle { 90}^{ o }$$ and less than $$\displaystyle {180 }^{ o }$$.
Right angle is the angle which is equal to $$90^o$$.
Reflex angle is the angle which is greater than $$\displaystyle {180}^{ o }$$ and less than $$\displaystyle {360 }^{ o }$$.
Which of the following is a straight angle?
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Angle that is less that $$90^{\circ}$$
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Angle that is exactly $$90^{\circ}$$
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Angle that is greater than $$90^{\circ}$$
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None of these
Explanation
Straight angle is the angle which is exactly $$180^{\circ}$$
Hence option $$D$$ is the correct answer.
Let's divide a circle into $$10$$ equal parts. Then, the measure of each central angle of a circle is :
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$$18^{o}$$
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$$72^{o}$$
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$$36^{o}$$
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$$30^{o}$$
Explanation
Since, circle divides in 10 equal parts, total measure angle at centre $$=360°$$.
So, each central angle after division is $$=\cfrac{360°}{10}=36°$$
At which one of the following times is the angle between the hands of a clock exactly one right angle?
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$$3$$:$$30$$
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$$3$$:$$00$$
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$$12$$:$$00$$
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None of these
Explanation
Angle between the hands of clock is exactly right angle at $$3$$:$$00$$
So option $$B$$ is correct.
How many right angles are there in $$540^o$$?
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$$4$$
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$$6$$
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$$8$$
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none of these
Explanation
One right angle $$=90^{\circ}$$
Let there be $$x$$ right angles in $$540^{\circ}$$
$$\Rightarrow { 90 }^{ \circ }x={ 540 }^{ \circ }\\ \Rightarrow x=\dfrac { { 540 }^{ \circ } }{ { 90 }^{ \circ } } =6$$
So option $$B$$ is correct.
The central angle of each part is:
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$$60^\circ$$
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$$30^\circ$$
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$$45^\circ$$
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$$90^\circ$$
Explanation
You can clearly see the circle is divided into $$12$$ equal parts.
Total Central angle $$=360^{\circ}$$
Let measure of central angle $$=x$$
$$\\ \Rightarrow 12(x)={ 360 }^{ \circ }\\ \Rightarrow 12x={ 360 }^{ \circ }\\ \Rightarrow x=\dfrac { { 360 }^{ \circ } }{ 12 } \\ \Rightarrow x={ 30 }^{ \circ }$$
So option $$B$$ is correct.
A circular paper is divided into $$4$$ equal parts by cutting it through two diameters. Then the central angle of each part is equal to:
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$$45^\circ$$
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$$90^\circ$$
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$$60^\circ$$
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$$30^\circ$$
Explanation
Central angle $$=360^{\circ}$$
Now circular piece of paper is divided in four equal parts .
Let measure of central angle $$=x$$
$$\\ \Rightarrow x+x+x+x={ 360 }^{ \circ }\\ \Rightarrow 4x={ 360 }^{ \circ }\\ \Rightarrow x=\dfrac { { 360 }^{ \circ } }{ 4 } \\ \Rightarrow x={ 90 }^{ \circ }$$
So option $$B$$ is correct.
The central angle of a part of a circle which is divided into $$6$$ equal parts is:
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$$60^\circ$$
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$$30^\circ$$
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$$45^\circ$$
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$$90^\circ$$
Explanation
Central angle $$=360^{\circ}$$
Now park is divided in four equal parts.
Let measure of central angle $$=x^o$$
$$\\ x+x+x+x+x+x={ 360 }^{ \circ }\\ 6x={ 360 }^{ \circ }\\ x=\dfrac { { 360 }^{ \circ } }{ 6 } \\ \Rightarrow x={ 60 }^{ \circ }$$
So option $$A$$ is correct.
How many degrees are there in one right angle?
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$$0^o$$
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$$180^o$$
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$$100^o$$
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None of these
Explanation
Right angle $$=90^{\circ}$$
So there are $$90$$ degrees in one right angle.
Hence option $$D$$ is correct.
Danish drew an angle as shown here. Manish drew an angle that was twice the measure of Danish's angle. What was the measure of Manish's angle?
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$$20^o$$
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$$70^o$$
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$$80^o$$
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$$60^o$$
Explanation
Measure of angle drawn by Danish $$=40^o$$
$$\therefore$$ Measure of angle drawn by Danish $$=2\times 40^o=80^o$$.
There are six angles, How many of them are greater than a right angle?
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$$1$$
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$$2$$
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$$3$$
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$$4$$
Explanation
Figure $$A$$, Figure $$B$$ and Figure $$C$$ are the angles which are greater thaan right angle.
Hence the correct answer is option C
Which type of angle best describes angle Q?
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Obtuse
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Acute
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Right
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Straight
Explanation
Measure of angle $$Q$$ is more thaan $$90^o$$ but less than $$180^o$$.
Hence the $$\angle Q$$ is an obtuse angle.
The clock shows the time in the morning. Then, angle represents _________ angle.
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Acute
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Obtuse
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Reflex
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Straight
Explanation
Any angle which is larger than $$180^o$$ but smaller than $$360^o$$ is called as a reflex angle.
Here, the angle shown
is larger than $$180^o$$ but smaller than $$360^o$$.
Hence, it is a reflex angle.
Therefore, option $$C$$ is correct.
An angle which measures more than $$90^o$$ but less than $$180^o$$ is called ___________.
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Acute
0%
Obtuse
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Right
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None of these
Explanation
An angle which measures more than $$90^o$$ but less than $$180^o$$ is called as an obtuse angle.
Which of the following is greater than a right angle?
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0%
0%
0%
Explanation
Option $$A$$- Angle shown is a right angle
Option $$B$$-Angle shown is a acute angle
Option $$C$$-Angle shown is a acute angle
Option $$D$$-Angle shown is an obtuse angle.
Hence option $$D$$ is the correct answer
What is the approximate measure of this angle in degrees?
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$$20^o$$
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$$45^o$$
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$$110^o$$
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$$135^o$$
Explanation
The given angle is a acute angle, so option D and option C is not correct
The approximate value of above angle is $$45^o$$, as the angle of $$20^o$$ would be very small than the given angle
Hence the correct answer is option B.
Say True or False.
The measure of an obtuse angle $$< 90^{\circ}$$.
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True
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False
Explanation
False
The measure of an obtuse angle is greater than $$90^o$$ but less than $$180^o$$.
State True or False:
The measure of a reflex angle is $$> 180^{\circ}$$.
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True
0%
False
Explanation
Step 1: True
According to definition, reflex angle is the angle which are greater than $$180^o$$ but less than $$360^o$$.
Therefore, the given statement is true.
An angle whose measure is less than that of a right angle is ______.
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Acute
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Obtuse
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Right
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Straight
Explanation
$$Acute \ angle$$ has measure less than $$right \ angle$$
Hence correct answer is $$A) \ Acute$$
An angle whose measure is greater than that of a right angle is ______.
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Acute
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Obtuse
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Right
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Straight
Explanation
$$Obtuse \ angle$$ has measure more than that of $$right \ angle \ but \ less \ than \ 180\ degree$$
Hence correct answer is $$B) \ Obtuse$$
An angle whose measure is the sum of the measures of two right angles is _______.
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Acute
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Obtuse
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Right
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Straight
Explanation
Step 1: Straight angle
We know that t
he measure of a right angle is $$90^ \circ$$ and the m
easure of a straight angle is $$180^ \circ.$$
Therefore, sum of the measure of two right angles is $$(90+90)^ \circ=180^ \circ.$$
Thus an angle whose measure is the sum of two right angles is $$\text{Straight}.$$
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