Q. 1335.0( 2 Votes )

# In Fig. 6.41, ∆PQR is right-angled at P. U and T are the points on line QRF. If QP || ST and US || RP, find ∠S.

Answer :

Given: QP || ST ; US || RP; ∠P = 90°

**Formula Used/Theory:-**

If all sides of both the triangles are parallel than then they are similar triangles

And their angles will also be equal

In Δ PQR and Δ STU

PQ || ST (given)

PR ||SU (given)

QR || TU (both lies on same line)

∴ Δ PQR ~ Δ STU

Then;

∠P = ∠S; ∠Q = ∠T; ∠R = ∠U

If ∠P = 90°

Then; ∠S = 90°

**Result:-** angle S measured out to be 90°

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