Question

Find the measures of the angles.

1. m∠x
2. m∠y


A.
m∠x = 50°
m∠y = 135°


B.
m∠x = 125°
m∠y = 50°


C.
m∠x = 50°
m∠y = 125°


D.
m∠x = 135°
m∠y = 50°

Answer 1

m<x + m<GDE = 90°
m<x + 40 = 90°
m<x +40 -40 = 90° -40
m<x =50

m<y + m<FCA
m<y + 55 = 180°
m<y +55 - 55 =180 -55
m<y = 125

C. m∠x = 50°
m∠y = 125°