Question

find the value of x.

Explanation:

Step1: Find the smaller arc measure

The total circumference of a circle is $360^\circ$. Subtract the given arc from $360^\circ$.
$\text{Smaller arc} = 360^\circ - 236^\circ = 124^\circ$

Step2: Apply external tangent angle formula

The measure of an angle formed by two tangents outside a circle is half the difference of the intercepted arcs.
$x = \frac{1}{2} \times (236^\circ - 124^\circ)$

Step3: Calculate the value of $x$

Simplify the expression to find $x$.
$x = \frac{1}{2} \times 112^\circ = 56^\circ$

Answer:

$56^\circ$