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SSC CGL 2021 PYQ — Question 72

SSC CGL - 18 Aug 2021 - Shift 2 • Quantitative Aptitude • Q72

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Points A and B are on a circle with centre O. Point C is on the major arc AB. If ∠\angleOAC = 35º and ∠\angleOBC = 45º, then what is the measure (in degrees) of the angle subtended by the minor arc AB at the centre?

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 160

OA = OB = OC = Radius

∠\angleOAC =  ∠\angleOCA= 35° and  ∠\angleOBC =  ∠\angleOCB = 45°

∠\angleACB  = 35 + 45 = 80°.

 ∠\angleAOB = 2 × 80 = 160°.