In the figure below (not to scale), O is the centre of circle and angle PQO = 40 deg Find angle PRQ
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In the figure below (not to scale), O is the centre of circle and angle PQO = 40 deg Find angle PRQ
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Answer:
To determine angle PRQ, we need additional information about the position of point R or the measure of another angle in the figure. Without that information, it's not possible to calculate the specific value of angle PRQ.
Answer:
Given:
∠POQ = 54°
Concept used:
The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.
The sum of the opposite angles of a cyclic quadrilateral = 180°
Calculation:
F1 Madhuri SSC 22.06.2022 D11
Take a point on a circle at the point A and connect PA and QA
So, ∠PAQ = ∠POQ/2 = 54°/2 = 27°
APRS is a cyclic quadrilateral
So, ∠PRQ = 180° - 27° = 153°
∴ The measure (in degree) of ∠PRQ is 153°.
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