English

In the given figure, ∠ABC = 69°, ∠ACB = 31°, find ∠BDC.

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Question

In the given figure, ∠ABC = 69°, ∠ACB = 31°, find ∠BDC.

Sum
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Solution

In ΔABC,

∠BAC + ∠ABC + ∠ACB = 180°  ...(Angle sum property of a triangle)

⇒ ∠BAC + 69° + 31° = 180°

⇒ ∠BAC = 180° − 100º

⇒ ∠BAC = 80°

∠BDC = ∠BAC = 80°   ...(Angles in the same segment of a circle are equal)

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Chapter 9: Circles - EXERCISE 9.3 [Page 128]

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NCERT Mathematics [English] Class 9
Chapter 9 Circles
EXERCISE 9.3 | Q 4. | Page 128

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