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In the Given Figure, O is the Centre of the Circle and ∠Pba = 45°. Calculate the Value of ∠Pqb. - Mathematics

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प्रश्न

In the given figure, O is the centre of the circle and ∠PBA = 45°. Calculate the value of ∠PQB.

योग
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उत्तर

Given ∠PBA = 45°
AOB is a diameter of circle.
∠APB = 90°             ....(Angle in semi-circle)
So, in ΔAPB,
∠PAB = 180° - (90° + 45°) = 45°

∠PAB = ∠PQB       ...(Angle in same segment)
∴ ∠PQB = 45°.

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