Question

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

Answer 1

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.