137k views
0 votes
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

1 Answer

3 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 Dmitry Zaytsev
by
4.6k points