Question

Find the value of $x$ in degrees from the given figure if $\angle AOB={65}^{\circ }$ and $arcAB=arcCD.$

Answer 1

From the given figure,
Given: arc AB= arc CD
angle AOB = 65°

The angle subtended by the arc AB is $\angle AOB,$ and the angle subtended by the arc CD is $\angle COD=x.$

We know that, equal arcs subtend equal angles at the centre. (1 mark)
$\Rightarrow \angle AOB=\angle COD=x$
Thus, $x={65}^{\circ }.$ (1 mark)