Question

find the value of ( x ).

Explanation:

Step1: Find the smaller arc

A full circle is $360^\circ$. Subtract the given arc.
$360^\circ - 216^\circ = 144^\circ$

Step2: Calculate exterior angle $x$

The exterior angle formed by two tangents is half the difference of the intercepted arcs.
$x = \frac{1}{2} \times (216^\circ - 144^\circ)$
$x = \frac{1}{2} \times 72^\circ$

Answer:

$36^\circ$