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In the figure given below, AB || DC. If ∠B = 70°, then ∠BCD is ______. - Mathematics

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Question

In the figure given below, AB || DC. If ∠B = 70°, then ∠BCD is ______.

Options

  • 80°

  • 110°

  • 100°

  • 70°

MCQ
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Solution

In the figure given below, AB || DC. If ∠B = 70°, then ∠BCD is 110°.

Explanation:

AB ∥ DC, so ∠B (given 70°) and ∠BCD form a pair of interior angles on the same side of the transversal inside the circle.
Thus ∠BCD = 180° − 70° = 110°.

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Chapter 15: Circles - Exercise 15C [Page 359]

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Nootan Mathematics [English] Class 10 ICSE
Chapter 15 Circles
Exercise 15C | Q 8. | Page 359
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