Question

Suppose WXYZ is a parallelogram. Diagonals WY and XZ intersect at point V. If WVX = 130 degrees, find WVZ + XVY

Answer 1

Answer:  Choice A

100 degrees

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Explanation:

See the diagram below.

Angle WVX = 130 is marked in red.

Congruent vertical angles WVZ and XVY are each x degrees and are marked in blue.

A red and one blue angle combine to 180 degrees.

blue+red = 180

x+130 = 180

x = 180-130

x = 50

The blue angles WVZ and XVY are 50 degrees each.

So they total 50+50 = 100 degrees