Question

In the given figure, if angle 1 = angle 2 and triangle NSQ is congruent to triangle MTR. Then prove that triangle PTS ∼ triangle PQR.​

Answer 1

In the triangles PTS and PQR, let us assume that Q = angle 3 and R = angle 4. 
So, angle 1 = angle 3 (corresponding angles)
and angle 2 = angle 4 (corresponding angles)
Angle P is common angle.
By AAA similarity triangle PTS is similar to PQR.
Hence proved.

Answer 2

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