Question

Determine the value of x in the figure given below.

• A. ${35}^{\circ }$
• B. ${25}^{\circ }$
• C. ${30}^{\circ }$
• D. ${60}^{\circ }$

Answer 1

The correct option is D ${60}^{\circ }$

O is the centre of the circle and OA and OB and OC are the radius of the circle..

Thus, $OA=OB=OC$

$\angle OAB=\angle OBA(\because OA=OB)$

$=>\angle OAB={35}^{\circ }$

Similarly, $\angle OAC=\angle OCA$

$=>\angle OAC=25^∘$

Now,

$\angle BAC=\angle OAB+\angle OAC$

$\therefore \angle x={35}^{\circ }+{25}^{\circ }={60}^{\circ }$