Tangents AB and AC are drawn to a circle from a point A, such that ∠BAC = 40°. A chord CP is drawn parallel to BA. The measure of ∠CBP is?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 40°
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Concept |
Application |
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Alternate segment theorem: In any circle, the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment. |
∠BAC = 40° AB||CP Extend tangent AC to point E. AB||CP ∠BAC = ∠PCE = 40° In ∆ BPC, ∠CBP = ∠PCE (from alternate segment theorem) Hence, ∠CBP = 40° |