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SSC CHSL 2021 PYQ — Question 64

SSC CHSL - 16 April 2021 - Shift 2 • Quantitative Aptitude • Q64

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A and B are two points on a circle with centre O. C is a point on the minor arc of the circle between points A and B. The tangents to the circle at A and B meet each other at a point D. If ∠\angleADB = 25°, then ∠\angleACB (in degrees) is equal to:

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 102.5

Given that

 ∠\angleADB = 25°

As we shown as figure 

 ∠\angleADB + ∠\angleAOB = 180º

∠\angleAOB = 180 - 25 = 155º

Now, the angle at circumference ∠\angleATB = 155/2 = 77.5º

∠\angleACB + ∠\angle ATB = 180º

∠\angleACB = 180 - 77.5 = 102.5º