Question

in the figure O is the centre of the circle, triangle QPR is an isoscles triangle with PQ=OR & angle PQR=40°.Find the measure of angle QSR ,angle QTR & angle QOR

Answer 1

hey dear,
here is your answer

<PQR=<PRQ(isocles triangle)
<QPR=180-(40+40)
          =100

<QTR=180-<QPR (sum of the opposite angles of a cyclic quadrilateral is 180)
          =180-100
          =80

<QOR=2 x <QTR (angle substended in the circumference is half of the                                        angle at center)
           =2 x 80
           = 160

<QSR=<QPR (corresponding angles are equal)
          = 100

Hope it helped you 

thankz
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