Question

Two angles are supplementary (meaning they add up to 180 ° ). The ratio of the relationship of the measure of Angle A to the measure of Angle B is 3:4. What are the measure of both angles?

Answer 1

Angle A= 77.14°

Angle B= 102.86°

Explanation:

Supplementary angles are angles that add up to 180°, as stated in the question.

This means that Angle A + Angle B= 180°

The measure of Angle A to Angle B is 3:4

3:4 --------> 3+4 = 7 total parts

Hence, angle A will be 3/7 of the total angle (180°)

angle B will be 4/7 of the total angle (180°)

That is, angle A = 3/7 × 180° = 77.1428°

angle B= 4/7 × 180° = 102.857°

Approximately, angle A = 77.14° while angle B= 102.86°