Question

PQRS is a trapezium with PQ || SR and <p=<q=50
a.Prove that PQ=SR
b.Is <S=<R​

Answer 1

Answer:

REF.Image

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 side of transversal is 180

∘

)

50

∘

+∠R=180

∘

∠R=180

∘

−50

∘

∠R=130

∘