Question

In the given figure, O is the centre of the circle. find angle cbd?

Answer 1

angle APC = 1 / 2 angle AOC
angle APC = 50 degree
angle APC = angle CBD (opposite exterior angle of cyclic quadrilateral)
angle CBD = 50 degree


hope this helps you.... : )

Answer 2

Angle subtended by arc ABC at the centre

∠AOC=50⁰

∴ Angle subtended by Arc ABC at any point on the circumference = 25⁰

∴∠ABC=180⁰ −25⁰=155⁰

....[Since opposite angles of a cyclic quadrilateral

are supplementary]

∴∠CBD=180⁰ −155⁰ =25⁰