Question

If o is the center of the circle find value of x

Answer 1

Here, CBD=75°
therefore, CBA=180°-75° (ABD is a straight angle)
=>CBA=105°
therefore, reflex AOC, x=2CBA
=2*105
=210°

Answer 2

Answer:

The value of x is 110.

Step-by-step explanation:

Given information:$\angle CBD=75^{\circ}$.

$\angle CBD+\angle CBA=180^{\circ}$               (Supplementary angles)

$75^{\circ}+\angle CBA=180^{\circ}$

$\angle CBA=180^{\circ}-75^{\circ}$

$\angle CBA=105^{\circ}$

Using central angle theorem,

$x=2\times \angle CBA$

$x=2\times 105^{\circ}$

$x=110^{\circ}$

Therefore the value of x is 110.