Question

In the given figure, O is the centre of a circle and $\angle BOD={150}^{\circ }$. Find the values of x and y.

Answer 1

ANSWER:
O is the centre of the circle and ∠ BOD = 150 ° .
Thus, reflex angle ∠ BOD = (360 ° – 150 ° ) = 210 °
Now, x=1/2reflex∠BOD=1/2×210°=105°
∴ x = 105 °
Again, x + y = 180 ° (Opposite angles of a cyclic quadrilateral)
⇒ 105 ° + y = 180 °
⇒ y = (108 ° - 105 ° )= 75 °
∴ y = 75 °
Hence, x = 105 ° and y = 75 °