2018 · Q96
In the figure given below, XA and XB are two tangents to a circle. If ∠AXB = 50° and AC is parallel to XB, then what is ∠ACB equal to?
Elementary MathematicsCircles
- A70°
- B65°
- C60°
- D55°
Explanation
In quadrilateral AXBO the angles at A and B are 90° (tangent ⊥ radius) and ∠AXB = 50°, so the central angle ∠AOB = 130°. Point C lies on the major arc AB, so the inscribed angle ∠ACB = 130°/2 = 65°, option (B).