Question

The measure of the supplement of an angle is 40 more than two times the measure of the complement of an angle. Find the measure of the angle.

Answer 1

Answer: The measure of an angle would be 40°.

Explanation:

Let the angle be 'x'.

complement means the sum of two angles is 90°.

So, Complement of x = 90-x

Supplement means the sum of two angles is 180°.

So, Supplement of x = 180-x

According to question,

`180-x=2(90-x)+40\\\\180-x=180-2x+40\\\\-x+2x=40\\\\x=40`

Hence, the measure of an angle would be 40°.