Q4 of 141 Page 438

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

Reflex ∠AOC = 360° - ∠AOC


= 360° - 130°


= 230°


∴∠ABC = (1/2) ∠AOC


⇒ ∠ABC = (1/2) 230°


⇒ ∠ABC = 115°


Now,


∠ABC + ∠PBC = 180°[Because ABP is a straight line]


⇒ 115° + ∠PBC = 180°


⇒ ∠PBC = 65°


More from this chapter

All 141 →
2

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

3

In the given figure, is a cyclic quadrilateral in which

If find


(i) (ii) (iii)


5

In the given figure, is a cyclic quadrilateral in which is drawn parallel to and is produced. If and find

6

In the given figure, and find