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

If the ratio of two supplementary angles is 10 to 47 calculate the measure of the larger of the two angles class=

Respuesta :

Answer:

a) 148.52

Step-by-step 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