Question

WXYZ is an inscribed quadrilateral whose diagonals intersect at K. Segment WX is parallel to segment ZY, as shown below.



Prove that if angle ZYW is 30° and angle ZWY is 20°, then angle WZX is 100°. Write a two-column proof showing statements and reasons.

Answer 1

please help me

Answer 2

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Answer 3

< YWX = 30 alternate angles
< ZWX = 50 20 + 30
<ZWX + <ZYX = 180 opposite angles of a cyclic quadrilateral
< ZYX = 180-50 = 130 because of above
< WYX = 130 - 30 = 100
therefore < WZX = 100 degrees angle in the same segment as WYX