Question

PQRS is a trapezium with PQ || SR. If ∠P = 300 and ∠Q = 500

, find ∠R and ∠S​

Answer 1

Since,PQ||SR,and PS is transversal then ∠P+∠S=180°(sum of consecutive interior angles on the same of transversal is 180°)

30°+∠S=180°

∠S=180°-30°

∠S=150°

Since PQ||SR, and QR is transversal then ∠Q+∠R=180°(sum of consecutive interior angles on the same of transversal is 180°)

50°+∠R=180°

∠R=180°-50°

∠R=130°