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    In the figure given below, PQ is the diameter of the circle with centre O. If ∠QOR=100°, then the measure of ∠PSR is:
    Question

    In the figure given below, PQ is the diameter of the circle with centre O. If ∠QOR=100°, then the measure of ∠PSR is:

    A.

    40°

    B.

    100°

    C.

    160°

    D.

    80°

    Correct option is A

    Given:
    ​PQ is the diameter of the circle.
    ∠QOR = 100°.
    Concept Used:
    Angle subtended by an arc at the center is twice the angle subtended by the same arc at any point on the circumference of the circle (this is a well-known property of a circle).
    Angle in a semicircle: Any angle subtended by the diameter at the circumference is a right angle (90°).
    Formula Used:  
    In a circle,
    Angle subtended by the arc on the center = 2 ×\times Angle subtended by the same arc on the circumference.
    Solution:  
    Angle subtended at the center=2×Angle subtended at the circumference text{Angle subtended at the center} = 2 \times \text{Angle subtended at the circumference}Solution: 

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