Which statement regarding the diagram is true?

a) m∠wxy = m∠yxz
b) m∠wxy < m∠yzx
c) m∠wxy + m∠yxz = 180°
d) m∠wxy + m∠xyz = 180°

1. Let the m(YXZ)=a, m(XZY)=b, m(XYZ)=c, m(WXY)=d as in the atached figure.

A)  d=a, 

no, because clearly the triangle is an acute triangle (all angles clearly < 90°).
So a<90, and d, the supplementary of a, is >90. So d>a

B) d<b. 

no, d >90, b<90 so d>b

C) d+a=180°

yes, because an interior angle, and that angles exterior angle are supplementary, that is, their sum is 180°

D) d+c=180°. True only if c=a, so if YZX is isosceles. Otherwise, not true. 

Dbc if u do the math and stuff that what i got let me know if i was wrong