In the diagram, ABCD is a parallelogram. Write an argument to support the claim that
M x = M y

The angles m∠x = m∠y because alternate interior angles are equal.
A parallelogramis a quadrilateral in which opposite sides are equal and parallel to each other.
The opposite angles are also congruent, whereas consecutive interior angles are supplementary.
In the quadrilateral ABCD:
m∠x = m∠y (alternate interior angles are equal)
The angles m∠x = m∠y because alternate interior angles are equal.
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