Math, asked by shriyapatne, 4 months ago

O is the centre of a circle and PR = QR. What is the

measure of PQR
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Answered by 12457222
5

Answer:

110 degrees

Step-by-step explanation:

<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

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