The measurement of Đ PQR is
P
a
R
0
280
360
(int) 160
(iv) 260​

1 thought on “The measurement of Đ PQR is<br />P<br />a<br />R<br />0<br />280<br />360<br />(int) 160<br />(iv) 260​”

1. Answer:

   We know angle subtended at centre by an arc is double the angle subtendedby it at any other point.

   Reflex angle ∠POR= 2∠PQR

   = 2 × 100°

   = 200°

   Now, ∠POR = 360° – 200 = 160°

   Also,

   PO = OR [Radii of a circle]

   ∠OPR = ∠ORP [Opposite angles of isosceles triangle]

   In ∆OPR, ∠POR = 160°

   ∴ ∠OPR = ∠ORP = 10°

   Method 2:

   Consider PR as a chord of the circle. Take any point S on the major arc of the circle

   PQRS is a cyclic quadrilateral

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