Question

The measure of an angle is thirty-five times the measure of its supplementary angle. What is the measure of each angle?

Answer 1

Answer: here is answer

Step-by-step explanation:

Let's call the measure of the angle x.

Since the angle is 35 times greater than its supplementary angle, the measure of the supplementary angle is x.

The sum of the measures of a pair of supplementary angles is 180 degrees, so:

x + x = 180

Therefore,

2x = 180

Dividing both sides by 2,

x = 90

So, the measure of the angle is 90 degrees, and the measure of its supplementary angle is 90 / 35 = 2.57 degrees