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

The figure shows a quadrilateral WXYZ inscribed in a circle. Segment WX is parallel to segment ZY. The diagonals WY and ZX intersect at K. Angle ZYW is 30 degrees and angle ZWY is 20 degrees

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.

Question

WXYZ is an inscribed quadrilateral whose diagonals intersect at K. Segment WX is parallel to segment ZY, as shown below. 
 
The figure shows a quadrilateral WXYZ inscribed in a circle. Segment WX is parallel to segment ZY. The diagonals WY and ZX intersect at K. Angle ZYW is 30 degrees and angle ZWY is 20 degrees 
 
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.

anonymous · Answer

attachment