SSC MTS Model Paper 2

Question : 40 of 150

Marks: +1, -0

A, B, C are three points on a circle. The tangent at A meets BC produced at T,
∠ BTA = 40° and ∠ CAT = 44°, then the angle subtended by BC at the centre of the circle is-

104°
92°
96°
84°

Validate

Solution:

(1)

∠C A T = 44 ^ {°} , ∠ B T A = 40 ^ { ° }

∠ A C T = 180 ^ { ° } - 44 ^ { ° } - 40 ^ { ° } = 96 ^ { ° }

∠ C A T = ∠ C B A = 44 ^ { ° }

∠B C A = 180 ^ { ° } - 84 ^ { ° } - 44 ^ { ° } = 52 ^ { ° }

∴ Angle on Arc = BC = 2 × 52° = 104°

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