Question

Two supplementary angles are such that two times the measure of one is equal to three times the
measure of the other. Find the measures of the angles.

Answer 1

Answer:

Supplementary angles are angles that add up to 180 degrees (flat angle).

Answer 2

Answer:

Let the measure of one of the supplementary angle be x°

Then, the measure of its supplement = (180° - x)°

2× (measure of one angle)= 3× (measure of its supplement)

2x = 3(180° - x)

2x = 540° - 3x

5x = 540°

$x = \frac{540}{5} = \: 108$

(180° - x) = (180 °- 108 °)

= 72°

✅ Hence, the two supplementary angles are 108° and 72 °