Question

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

Answer 1

Answer:

let the supplementary angle be x and the angle is 19x

ATQ

x+19x=180°

20x=180°

x=90°

so the supplementary angle is 90°

Answer 2

Answer:

Let one angle be x

supplementary angle:- 19 x

19x + x = 180° [supplementary angles]

20x = 180°

=> x = 9°

=> supplementary angle = 19×9 = 171 °