The measure of a supplement of an angle is 40 more than two times the measure of the complement of the angle. find the measure o

Question

aniked [119]

3 years ago

11

The measure of a supplement of an angle is 40 more than two times the measure of the complement of the angle. find the measure o

f the angle

Mathematics

1 answer:

saul85 [17] · Answer 1 · 2022-05-29T12:32:18+03:00

2 angle A and B are Complementary means that the sum of their measures is 90°.

2 angle A and B are Supplementary means that the sum of their measures is 180°.

Thus, if the measure of angle A is x:

the measure of the supplement is 180°-x
the measure of the complement is 90°-x

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

let the measure of the angle be x, then we have:

180°-x=40°+2(90°-x)

180°-x=40°+180°-2x

2x-x=40°

x=40°

Answer: 40°