MCQ practice · SSC General Mathematics Board questions · Chapter 8: Circle
Two tangents are drawn to a circle from an external point and the central angle is 110°. What is the angle formed at the external point, in degrees?
Think it through first, then pick an option.
- a 60°
- b 70°
- c 90°
- d 120°
Answer and explanation
Correct answer: b 70°
The angle at the external point = 180° − 110° = 70°.
Why the other options are wrong
- a 60°: 60° does not arise; 360° − 90° − 90° − 110° = 70°.
- c 90°: 90° is the tangent-radius angle, not the angle at the external point.
- d 120°: 120° is the result for a different number; here 110° gives 70°.
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