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 of the angle

Question

Mathematics

Ximena Gibson

1 July, 01:51

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 of the angle

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Answers (1)

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Lorelai Obrien · Answer 1

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°