Question

The measure of an angle is 12° less than twice the measure of its supplement. What is the measure of the angle?

64°

34°

28°

116°

Answer 1

The measurement of the required angle = 116°

Explanation:

Let the measure of its supplement = x

The measurement of the required angle = 2x - 12

x + 2x -12 = 180

3x - 12 = 180

3x = 180 + 12

3x = 192

x = 192/3

x = 64°

The measurement of the required angle = 2 * 64 - 12 = 128 - 12 = 116°