Q3. In the fig below, point O is the center of the circle. find the value of ∠ACP if ∠ POB = 90 degrees
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Answer:
Step-by-step explanation:
(i) In circle C(O, r)
AB is the diameters.
So ∠APB = 90˚ (Angle in semi–circle)
(ii) Now in △APB
∠PAB = 180˚ – (∠APB + ∠ABP)
= 180˚ – (90˚ + 42˚)
= 180˚ – 132˚ = 48˚
∠PQB = ∠PAB = 48˚ (Angles of the same segment )
Hence
∠PQB = 48˚
(iii) AQPB is a cyclic quadrilateral.
∠APB + ∠AQB = 180˚
⇒ 90˚ + ∠AQB = 180˚
⇒ ∠AQB = 180˚ – 90˚ = 90˚
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Answer:
Bro where is the picture.
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