Question

In figure TP | | SR and PQ = PR, find the value of ∠PQS.​

Answer 1

Answer:

<PQS = 130°

Step-by-step explanation:

<UPR = 50° (Vertically Opposite angles)

<UPR = <PRQ (Alternative Interior angles)

Since, PQ = PR

Therefore ∆PQR is an isosceles triangle

So, <PQR = <PRQ (Base angles are equal)

Thus, <PQR = 50°

<PQS + <PQR = 180° (Linear Pair)

<PQS + 50° = 180°

<PQS = 180° - 50°

<PQS = 130°