## Answer :

**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.**