In a circle with centre O, an arc ABC subtends an angle of 140° at the centre of the circle. The chord AB is produced to point P. Then ∠CBP is equal to?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 70°
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Concept |
Understanding |
Application |
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Angle subtended by a chord at centre is double the angle subtended by same chord at circumference of the circle. |
Given ∠AOC = 140° Hence, ∠ADC = 140/2 = 70° |
Since ABCD is a cyclic quadrilateral ∠CBP = ∠ADC = 70° |