Question

∠ACB is inscribed angle in a circle with centre O. If ∠ACB = 65°, then what is the measure of its intercepted arc AXВ?

Options

• 65°

• 230°

• 295°

• 130°

Answer 1

130°

Explanation:

∠ACB is an inscribed angle in a circle with centre O. Arc AXB is intercepted by the angle.

∴ ∠ACB = `1/2` × m(arc AXB)

65° = `1/2` × m(arc AXB)

m(arc AXB) = 65° × 2

m(arc AXB) = 130°