Q2 of 141 Page 438

In the given figure, is a diameter and is a cyclic quadrilateral. If find

In cyclic quadrilateral PQRS,


∠PSR + ∠PQR = 180°[Opposite angles]


⇒ 150° + ∠PQR = 180°


⇒ ∠PQR = 30°


In triangle PQR,


∠RPQ + ∠PQR + ∠PRQ = 180°[Sum of angles of triangle]


⇒ ∠RPQ + 30° + 90° = 180°


⇒ ∠RPQ + 120° = 180°


⇒ ∠RPQ = 60°


More from this chapter

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14

In the given figure, is a diameter of a circle with center If and find and

1

In the given figure, is a cyclic quadrilateral whose diagonals intersect at such that and Find (i) (ii)

3

In the given figure, is a cyclic quadrilateral in which

If find


(i) (ii) (iii)


4

In the given figure, is the center of the circle and arc subtends an angle of 130° at the center. If is extended to find