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AB is a diameter of the circle APBR as shown in the figure. APQ and RBQ are straight lines. Find : ∠PBR - Mathematics

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Question

AB is a diameter of the circle APBR as shown in the figure. APQ and RBQ are straight lines. Find : ∠PBR

Sum
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Solution


∠BPA = 90°

(Angle in a semicircle is a right angle)

∴ ∠BPQ = 90°

∴ ∠PBR = ∠BQP + ∠BPQ

= 25° + 90°

= 115°

(Exterior angle of a ∆ is equal to the sum of pair of interior opposite angles)

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