Question

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

पर्याय

• 60°

• 100°

• 80°

• 120°

Answer 1

120°

Explanation:

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°