PQRS is a trapezium in which P Q ∥ S R and ∠ P = 130 ∘ , ∠ Q = 110 ∘ . Then, ∠ R is equal to a) 70 ∘ b) 50 ∘ c) 65 ∘ d) 55 ∘

: Since, PQRS is a trapezium and P Q ∥ S R . ∴ ∠ Q + ∠ R = 180 ∘ [ ∵ angles between the pair of parallel sides are supplementary] ⇒ ∠ R = 180 ∘ − 110 ∘ = 70 ∘

PQRS is a trapezium in which PQ∥SR and ∠P=130∘,∠Q=1

Question

PQRS is a trapezium in which

P Q ∥ S R

and

∠ P = 130^{\circ}, ∠ Q = 110^{\circ}

. Then,

∠ R

is equal to
a)

70^{\circ}

50^{\circ}

65^{\circ}

55^{\circ}

Answer:
:
Since, PQRS is a trapezium and

P Q ∥ S R

∴ ∠ Q + ∠ R = 180^{\circ}

[

∵

angles between the pair of parallel sides are supplementary]

\Rightarrow ∠ R = 180^{\circ} - 110^{\circ} = 70^{\circ}

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