Mathematics

In the given figure, ABC is an equilateral triangle. Angle ADC is :

  1. 60°

  2. 100°

  3. 80°

  4. 120°

In the given figure, ABC is an equilateral triangle. Angle ADC is : Circles, Concise Mathematics Solutions ICSE Class 10.

Circles

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Answer

Since, ABC is an equilateral triangle.

∴ ∠ABC = 60°.

We know that,

The opposite angles of a cyclic quadrilateral are supplementary.

∴ ∠ABC + ∠ADC = 180°

⇒ 60° + ∠ADC = 180°

⇒ ∠ADC = 180° - 60° = 120°.

Hence, Option 4 is the correct option.

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