Question

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

Answer 1

10 and 170 degrees.

Explanation:

If the angle is x degrees then its supplementary angle = 180-x degrees.

So x + 17x = 180

18x = 180

x = 10 degrees.

Answer 2

The measure of each angle will be 10° and 170°.

Explanation:

A supplementary angle refers to an angle that has the sum to be equal to 180°.

Let the small angle be represented by x

Therefore, the big angle will be: = 17 × x = 17x

Therefore, the value of both angles will be:

x + 17x = 180

18x = 180

Divide both side by 18

18x/18 = 180/18

x = 10

Therefore, the bigger angle will be:

17x = 17 × 10 = 170

Therefore, the angles are 10° and 170°