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.

Question

asked Jul 9, 2020 40.3k views

1 Answer

Ignas · Answer 1 · 2020-07-14T16:29:18+0000

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°.