Question

PQRS is a trapezium in which PQ || SR and ∠ P = 130°, ∠Q=110°. Then ∠ R is equal to

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

∘

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