Question

What is the degree measure of an angle which is 2/3 of its supplementary

Answer 1

Hola there !!!

We know , supplementary angle = 180°

2/3 of 180

2/3×180

120°

↑↑↑↑↑↑

Hope that helps

Answer 2

Let the angle be x.
Its supplementary angle = (180° - x)

According to the question,

x = 2/3 × (180° - x)

=> x = 360°/3 - 2x/3

=> x = (360° - 2x) ÷ 3

=> 3x = 360° - 2x

=> 3x + 2x = 360°

=> 5x = 360°

=> x = 360° ÷ 5

=> x = 72°

Therefore, the measure of the angle is 72°.