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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