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

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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°

MCQ
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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:

Since, PQRS is a trapezium and PQ || SR.

∴ ∠Q + ∠R = 180°   ...[∵ Angles between the pair of parallel sides are supplementary]

⇒ ∠R = 180° – 110°

⇒ ∠R = 70°

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Chapter 5: Understanding Quadrilaterals and Practical Geometry - Exercise [Page 150]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 5 Understanding Quadrilaterals and Practical Geometry
Exercise | Q 48 | Page 150

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