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Moderate

Proving Triangles are Similar

SATMAT-EYKJZY

In $ \triangle QPR $ and $ \triangle XYT $, if the measure of $ \angle Q $ is $ { 71 }^{ \circ } $, the measure of $ \angle Y $ is $ { 77 }^{ \circ } $, and $ \angle Q\cong \angle X $, then what additional information would prove that these two triangles are similar?

A

The measure of $ \angle P={ 71 }^{ \circ } $

B

The measure of $ \angle X={ 71 }^{ \circ } $

C

The measure of $ \angle T={ 32 }^{ \circ } $

D

The measure of $ \angle R={ 148 }^{ \circ } $