The measure of the supplementary of an angle is 40 more than 2 times the measure of the complement of an angle. Find he measure

Question

Brrunno [24]

3 years ago

12

The measure of the supplementary of an angle is 40 more than 2 times the measure of the complement of an angle. Find he measure

of the angle.

Mathematics

1 answer:

Gre4nikov [31] · Answer 1 · 2022-03-06T11:52:48+03:00

Two angles are complementary when they add up to 90 degrees<span>
</span>Two angles are supplementary when they add up to 180 degrees

angle = x
supplementary angle = (180-x)
complementary angle = (90-x)

180 - x - 40 = 2(90-x)
140 - x = 180 - 2x
-x + 2x = 180 - 140
x = 40°