Question

The measure of an angle is three times the measure of its supplementary angle. What is the measure of each angle?

Answer 1

45°

135°

Explanation:

Let the measure of one angle be x

So, measure of its supplementary angle = 3x

`\implies \: x + 3x = 180 \degree \\ \\ \implies \: 4x = 180 \degree \\ \\\implies \: x = ( 180 \degree)/(4) \\ \\\implies \: x = 45 \degree \\ \\ \implies \: 3x = 135 \degree`