Find The Angle RQP = ?

In a circle if PQ is the diameter of the circle and R is on the circumference of the circle such that angle PQR = 300 then angle RPQ =

    1. 900

 

    1. 600

 

    1. 300

 

    1. 450

 

Anurag Mishra Professor Asked on 21st July 2015 in Maths.
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    Answer: (2). 60 degree.

    RE: Find The Angle RQP = ?

    The diameter of the circle is PQ.

    R is a point on the circumference of the circle.

    Angle PQR = 30o (given)

    As we know that angle sustained on the circumference of circle is 900

    On joining points P, Q, R It forms a Triangle PQR.

    In Triangle PQR,

    Angle (RPQ) + Angle (PQR) + Angle (PRQ) = 1800 (Angle sum property of triangle)

    Angle (RPQ) + 300 + 900 = 1800

    Angle (RPQ) = 1800 – 1200

    Angle (RPQ) = 600

     

     

    vijay Professor Answered on 21st July 2015.
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