Question

In the figure, if O is the centre of the circle, $\angle BOC=11O^{\circ }$, then the measure of $\angle BAC$ is equal to:

• A. ${110}^{\circ }$
• B. ${55}^{\circ }$
• C. ${75}^{\circ }$
• D. ${45}^{\circ }$

Answer 1

Answer: (B)

${55}^{\circ }$

BC chord to the circle

Angle subtended by chord at the centre of a circle is double than the angle subtend by that chord at circumference

of the circle.

$\therefore \angle BAC$ = $\frac{\angle BOC}{2}$

$\therefore \angle BAC$ = $\mathring{55}$

So, option B will the answer.