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In the figure, QRS is a straight line. PQ//RS, ∠PQR=90°.∠QPR=∠SRT, prove △PQR abd △RST are similar

In the figure, QRS is a straight line. PQ//RS, ∠PQR=90°.∠QPR=∠SRT, prove △PQR abd-example-1
User CTXz
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1 Answer

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18 votes

Given that PQ//RS, angle TSR is also a straight angle.

It is also given that QPR= SRT.

When having two pairs of congruent angles, two triangles are similar by the case AAA.

User Arup Sarkar
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