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
