﻿ Naming Angles Worksheet - Page 3 | Problems & Solutions

# Naming Angles Worksheet - Page 3

Naming Angles Worksheet
• Page 3
21.
Which of the following cannot be the measure of any angle in the figure?

 a. 75o b. 60o c. 90o d. 120o

#### Solution:

The angles in the figure are either obtuse or acute angles.

No angle in the figure is a right angle.

So, no angle in the figure can measure 90o.

22.
Which of the figures have congruent angles?

 a. Figure (a) and Figure (d) b. Figure (a) and Figure (b) c. Figure (b) and Figure (c) d. Figure (c) and Figure (d)

#### Solution:

Two angles are equal then the angles are called congruent angles.

Angle in the figures (a) and (b) measures acute angles.

Angle in the figure (c) measures right angle.

Angle in the figure (d) measures an obtuse angle.

Figure (a) and (b) represents the acute angles and also measure of the angles look like same.

So figure (a) and figure (b) are congruent angles.

23.
Sum of two obtuse angles is an obtuse angle. Is the statement true or false?
 a. True b. False

#### Solution:

The measure of an obtuse angle is more than 90o and less than 180o.

Sum of two obtuse angles is always more than 180o.

So, the statement is false.

24.
Choose the pair of angles whose sum is equal to a straight angle.

 a. Figure 1 and Figure 3 b. Figure 1 and Figure 2 c. Figure 1 and Figure 4 d. Figure 2 and Figure 3

#### Solution:

Measure of a straight angle is 180o.

The sum of the angles in Figure 1 and Figure 3 = 105o + 75o = 180o

So, the sum of the angles in Figure 1 and Figure 3 is equal to a straight angle.