Question

PQ = PR, PS || QR, ∠SPR = 72. ∴ find ∠QPR.

पर्याय

• 72°

• 18°

• 44°

• 36°

Answer 1

36°

Explanation:

Since PQ = PR (given), triangle PQR is isosceles and therefore:

• ∠PQR = ∠PRQ (base angles of an isosceles triangle).

Given that ∠SPR = 72° and considering the parallel lines PS || QR, we know the corresponding angles between parallel lines give us:

• ∠SPR = ∠QPR (because PS is parallel to QR).

Thus, ∠QPR = 36°, which is half of ∠SPR.