Answer:
a = 57
b = 24
c = 39
d = 60
Explanation:
Theorem:
In a circle, inscribed angles that intercept congruent arcs are congruent.
<XWY and <YZX intercept arc XY; therefore they are congruent.
m<XWY = m<YZX
a = 57
<YWZ and <ZXY intercept arc ZY; therefore they are congruent.
m<YWZ = m<ZXY
b = 24
<XYW and <WZX intercept arc WX; therefore they are congruent.
m<XYW = m<WZX
c = 39
<ZYW and <YXZ intercept arc WZ; therefore they are congruent.
m<ZYW = m<YXZ
d = 60