Question

Angle W and angle Y are supplementary. If

the measure of angle W = 5x + 20 and the measure of angle Y = 4x - 11, find the measure of angle W
and Y

Answer 1

Angle W = 115°

Angle Y = 65°

angle W and angle y are supplementary

that is angle W + angle Y = 180°

angle w = 5x + 20

angle y = 4x - 11

putting this value in above equation

we get

5x + 20 + 4x - 11 = 180

5x + 4x + 20 - 11 = 180.

9x + 9 = 180

9x = 180 - 9

9x = 171

x = 19

angle W= 5x + 20

= 5(19)+ 20

= 95 + 20

= 115°

angle y = 4x - 11

= 4(19) - 11

= 76 - 11

= 65

Answer 2

Answer: angle of w is 115 degrees and angle of y is 65 degrees.

Step-by-step explanation: in the picture.