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The chord of a circle is equal to its radius. The angle subtended by this chord at the minor arc of the circle is
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- 75°
- 60°
- 150°
- 120°
- 75°
Correct Option: C
According to question , we draw a figure of a circle with centre O
Here , OA = AB = OB
∠AOB = 60°
∴ ∠ADB = 30°
As we know that Angle subtended at the centre by an arc is twice of that subtended at the circumference.
☐ ADBC is a cyclic quadrilateral.
∴ ∠ADB + ∠ACB = 180°
⇒ 30° + ∠ACB = 180°
⇒ ∠ACB = 180° – 30° = 150°