#### Solved Examples and Worksheet for Classifying Angles

Q1Name the angle formed by the two hands of the clock. A. right angle
B. obtuse angle
C. acute angle
D. straight angle

Step: 1
A straight angle is an angle measuring exactly 180°.
Step: 2
The angle shown by the hands in the clock also measures exactly 180°.
Step: 3
So, the hands of the clock shown make a straight angle.
Correct Answer is :   straight angle
Q2Which angle is obtuse? A. Figure 4
B. Figure 3
C. Figure 1
D. Figure 2

Step: 1
An angle which measures 90° is a right angle.
Step: 2
An angle which measures less than 90° is an acute angle.
Step: 3
An angle which measures greater than 90° is an obtuse angle.
Step: 4
From the given figures,Figures 1 and 4 are acute angles. Figure 3 is a right angle. Figure 2 is an obtuse angle.
Correct Answer is :   Figure 2
Q3An angle measuring less than 90° is called _____.

A. a right angle
B. a straight angle
C. an acute angle
D. an obtuse angle

Step: 1
An angle measuring less than 90° is called an acute angle.
Correct Answer is :   an acute angle
Q4Find the angle between hour hand and the minutes hand at three o'clock. A. straight line
B. obtuse angle
C. acute angle
D. right angle

Step: 1
At three o'clock, the hour and minutes hand make a right angle.
Step: 2
So, right angle is the correct answer.
Correct Answer is :   right angle
Q5Which two angles are obtuse angles in the figure? A. angle 1 and angle 3
B. angle 2 and angle 4
C. angle 1 and angle 2
D. angle 3 and angle 4

Step: 1
Obtuse angles are those which are greater than 90° .
Step: 2
Angle 1 and angle 3 are greater than 90° .
Step: 3
So, angle 1 and angle 3 are obtuse angles.
Correct Answer is :   angle 1 and angle 3
Q6Which angle measures less than 90°? A. angle 1
B. angle 3
C. angle 2
D. angle 4

Step: 1
The angle measuring less than 90° is angle 1.
Correct Answer is :   angle 1
Q7Which angle measures more than 90°? A. angle 6 and angle 7
B. angle 5 and angle 7
C. angle 1 and angle 5
D. angle 2 and angle 6

Step: 1
In the figure, angle 1, angle 2, angle 3, and angle 4 are right angles. Angle 6 is less than 90°.
Step: 2
Only angle 5 and angle 7 are more than 90°.
Correct Answer is :   angle 5 and angle 7
Q8What type of angle do the hands of a clock form when it is 10 O′Clock? A. 2 times a right angle
B. less than a right angle
C. right angle
D. more than a right angle

Step: 1
Compare the given angle with right angle shown in the figure Step: 2
The angles formed by the clock′s hands when it is 10 O′Clock, is less than a right angle. So, the angle shown is less than a right angle.
Correct Answer is :   less than a right angle
Q9Which of the following is true for the angle formed by the hands of the clock shown in the figure? A. The angle formed is a right angle
B. The angle formed is greater than a right angle
C. The angle formed is less than a right angle

Step: 1
A right angle is an angle that measures is 90°.
Step: 2
The angle shown by the hands of the clock measures slightly greater than 90°.
Step: 3
So, the angle formed by the hands of the clock is greater than a right angle.
Correct Answer is :   The angle formed is greater than a right angle
Q10What angle does B measure in the figure? A. more than a right angle
B. less than a right angle

Step: 1
A right angle is the angle which measures 90°.
Step: 2
The angle B in the above figure represents the angle more than a right angle.
Correct Answer is :   more than a right angle