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Question
PQRS is a trapezium in which PQ || SR and ∠P = 130°, ∠Q = 110°. Then ∠R is equal to ______.
Options
70°
50°
65°
55°
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Solution
PQRS is a trapezium in which PQ || SR and ∠P = 130°, ∠Q = 110°. Then ∠R is equal to 70°.
Explanation:
Given, PQRS is a trapezium in which PQ || SR
∠Q + ∠R = 180° ...(∵ Interior angles on the same side of a transversal are supplementary)
⇒ 110° + ∠R = 180°
⇒ ∠R = 180° – 110°
∴ ∠R = 70°
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