Question

Two times the complement of an angle is 23 less than the supplementary of the angle. What is the measure of the angle?

Answer 1

Explanation:

Let the angles be x and y

If the two angles are complementary then their sum is 90 i.e x+y = 90

x = 90-y

If the two angles are supplementary, then their sum is 180 i.e x+y = 180

x = 180-y

If two times the complement of an angle is 23 less than the supplementary of the angle, this is written as;

2(90-y) = (180-y)-23

180-2y = 157-y

-2y+y = 157-180

-y = -23

y = 23

Hence the angle is 23°