﻿ Geometry Angles Worksheet | Problems & Solutions Geometry Angles Worksheet

Geometry Angles Worksheet
• Page 1
1.
Check for the validity of the statement.
'Measure of an obtuse angle is more than 90°.' a. never true b. always true c. sometimes true d. not enough information

Solution:

Measure of an obtuse angle is always greater than 90°.

The statement is always true.

2.
What type of angle is represented in the figure?  a. a right angle b. a straight angle c. an obtuse angle d. an acute angle

Solution:

An angle measuring 90° is said to be a right angle.

So, the angle represented by the figure is a right angle.

3.
What type of angle do the hands of a clock form when it is 2 O′Clock?  a. obtuse angle b. straight angle c. acute angle d. right angle

Solution:

An angle whose measure is less than a right angle is called an acute angle.

The angles formed by the clock′s hands when it is 2 O′Clock, is less than a right angle. So, the angle shown is an acute angle.

4.
What is the angle formed by the hands of the clock as shown in the picture?  a. an acute angle b. an obtuse angle c. a right angle d. a straight angle

Solution:

A right angle is an angle that measures exactly 90°.

The angle shown by the hands of the clock also measures 90° and are perpendicular to each other.

So, the angle formed by the hands of a clock is a right angle.

5.
Identify the correct statement(s).
1. An acute angle is an angle less than 90°.
2. A right angle is an angle whose measure is equal to 90°.
3. The sum of two acute angles will be always greater than a right angle.
4. An obtuse angle is an angle whose measure is less than 90°. a. only 1 & 2 b. only 1 c. only 2 d. only 3 & 4

Solution:

An acute angle is an angle whose measure is always less than 90°.

A right angle is an angle whose measure is equal to 90°.

An obtuse angle is an angle greater than 90° and whose measure is between 90° and 180°.

Let us assume A = 25° and B = 35°. A and B are acute angles but sum of their measures is not greater than a right angle.

So, statements 1 & 2 only are correct.

6.
Identify the figure with a right angle.  a. Figure 4 b. Figure 2 c. Figure 1 d. Figure 3

Solution:

A right angle is an angle whose measure is equal to 90°.

So, among the figures, Figure 4 represents a right angle.

7.
Identify the figure with an angle greater than a right angle.  a. Figure 2 b. Figure 1 c. Figure 3 d. Figure 4

Solution:

An angle whose measure is greater than a right angle is called an obtuse angle.

Among the figures, the angle of Figure 4 is greater than a right angle.

8.
How many right angles does the given polygon have?  a. 4 b. 3 c. 2 d. 6

Solution:

The given polygon is a square.

So, the given polygon has 4 right angles.
[Since, a square has 4 right angles.]

9.
Identify the number of right angles in the given polygon.  a. 8 b. 4 c. 2

Solution:

The given polygon is an octagon.

The number of right angles in the given polygon is 0.

10.
What is the angle formed by the hands of the clock?  a. an acute angle b. an obtuse angle c. a straight angle d. a right angle

Solution:

The angle shown in the figure is greater than 90°.

Any angle greater than 90° but smaller than 180° is called an obtuse angle.

So, the angle formed by the hands of a clock is an obtuse angle.