In a circle with center O, a chord AB is such that ∠AOB = 130°. What is the measure of ∠ACB, where C lies on arc AB?
Show answer & explanation
Correct answer: C
Explanation
The angle subtended at the center is ∠AOB = 130°.
The angle subtended at the center by an arc of a circle is twice the angle subtended by the same arc at the circumference.
Therefore, ∠ACB = 1/2 × ∠AOB
= 1/2 × 130°
= 65°