In the figure shown below , if PSSQ= PTTR and∠PST= ∠PRQ, then find the type of ΔPQR .
It is given that
PSSQ = PTTR
So, ST || QR
∴ ∠PST=∠PQR (Corresponding Angles)
Also, it is given that
∠PST = ∠PRQ
So, ∠PRQ = ∠PQR
∴ PQ = PR (Sides opposite to equal angles)
i.e., ΔPQR is an isosceles triangle.