Question

5. anglePQR is an isosceles triangle such that PQ = PR and PS I QR. Prove that angle Q = angle R.
P
R
S​

Answer 1

$\huge{\fcolorbox{black}{grey}{\large{\fcolorbox{white}{black}{{\fcolorbox{grey}{purple}{❤AnSwEr❤}}}}}}$

given ; PQ = PR

WKT in an isosceles triangle angles oppo. to equal sides are equal

so, ∠PQR=∠PRQ

InΔPQS & ΔPRS

PQ=PR

∠PQS=∠PRS

PS is common

ΔPQS≅ΔPRS

by CPCT

we have, QS=SR

hence proved