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In the given figure, POQ is a line, then a is ______. - Mathematics

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Question

In the given figure, POQ is a line, then a is ______.

Options

  • 35°

  • 100°

  • 80°

  • 135°

MCQ
Fill in the Blanks

Solution

In the given figure, POQ is a line, then a is 80°.

Explanation:


Since, POQ is a line

Here, ∠POR and ∠QOR form a linear pair

∴ ∠POR + ∠QOR = 180°  ......[∵ Sum of the linear pair is 180°]

⇒ 100° + a = 180°

⇒ a = 180° – 100° = 80°

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Chapter 5: Lines and Angles - Exercise [Page 135]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 5 Lines and Angles
Exercise | Q 31. | Page 135

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