Question

Segment XY bisects angle WXZ and angle mZXY = 37 degrees. Find angle mWXY and angle mZXW

Answer 1

we know that

The angle bisector, is the line or line segment that divides the angle into two equal parts.

So

in this problem

m∠ZXW=m∠WXY+m∠ZXY

m∠WXY=m∠ZXY

Part a) Find the value of m∠WXY

m∠ZXY=37°-----> given value

so

m∠WXY=m∠ZXY=37°

therefore

the answer part a)

The measure of angle WXY is equal to 37°

Part b) Find the value of m∠ZXW

m∠ZXW=m∠WXY+m∠ZXY

m∠ZXW=37°+37°=74°

therefore

the answer part b) is

the measure of angle ZXW is 74 degrees