Question

find the measure of an angle,if five times of its coplement is 24 degree less than twice of its supplement

Answer 1

Let x be the angle.
90 - x = complementary angle
180 - x = supplementary angle.
5(90-x) 
2(180-x)
5(90-x) = 2(180-x) - 24
450 - 5x = 360 - 2x - 24
450 - 5x = 336 - 2x 
450 - 336 = - 2x + 5x
114 = 3x
x = 114/3
x = 38
90 - x = 
90 - 38 =
52
180 - x =
180 - 38 =
142
The angle is 38 degrees, its complementary angle is 52 degrees and its supplementary angle is 142 degrees.