Question

If the ratio of two supplementary angles is 10 to 47, calculate the measure of the larger of the two angles.

Answer 1

a) 148.52

Explanation:

If sum of two angles is 180, then they are supplementary

Ratio = 10 : 47

Smaller angle = 10x

Larger angle = 47x

10x + 47x = 180

57x = 180

Divide both sides by 57

x = 180/57

x = 3.16

Larger angle = 47x = 47 * 3.16 = 148.52