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We know that side NM is
to side XZ. If we consider side NY the transversal for these parallel lines, we create angle pairs. Using the
, we can state that ∠YXZ is congruent to ∠YNM. We know that angle XYZ is congruent to angle
by the reflexive property. Therefore, triangle XYZ is similar to triangle NYM by the
similarity theorem.

Sagot :