Tangents AB and AC are drawn to a circle from a point A such that ang BAC 40 circ40 A chord CP is dr...........

Quantitative Aptitude (CHSL) Geometry

Tangents AB and AC are drawn to a circle from a point A, such that ∠BAC = 40^\circ40°. A chord CP is drawn parallel to BA. The measure of ∠CBP is:

35^o

55^o

40^o

45^o

∠BOC = 180° - 40° = 140°
∠OCB = ∠OBC = 180°-140°/2
=20°
∠CBP=2 x ∠OBC
= 2x20° = 40°

Hence option 3 is the correct answer.

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