Question

Find the measure of the supplement of an 8° angle.

a) 172°
b) 180°
c) 188°
d) 352°

Answer 1

The measure of the supplement of an 8 degree angle is 172 degrees. The correct answer is option A

Step-by-step explanation:

The supplement of an angle is the amount by which the angle must be increased to reach a straight line, which is 180 degrees. Therefore, the supplement of an 8° angle can be found by subtracting 8° from 180°. Mathematically,

180°−8°=172°

180°−8°=172°. Thus, the correct answer is (a) 172°. The supplement of an angle forms a straight line with the angle, resulting in a total measure of 180 degrees. This concept is fundamental in geometry, where complementary and supplementary angles are used to analyze geometric relationships and solve problems involving angles in various shapes and configurations.