SSC CGL 26 Oct 2014 Shift 1 Paper

Question : 137 of 200

Marks: +1, -0

AC is a chord of circle whose centre is at O. If B is any point on the arc AC and ∠OCA = 20°, then the magnitude of ∠ABC is

110°
100°
40°
140°

Validate

Solution:

OA = OC = radii
∠ OCA = ∠ OAC = 20°
∴ ∠ AOC = 180° – 2 × 20°
= 180° – 40° = 140°
∴ Angle subtended by arc ADC at centre
∠ AOC = 360° – 140° = 220°
∴ Angle ∠ ABC at the circumference =

{220}/2

= 110°

Go to Question:

Prev Question

Next Question