Question

solve for x.

Explanation:

Step1: Recall intersecting chords angle theorem

The measure of an angle formed by two intersecting chords is half the sum of the measures of the intercepted arcs. So, $124^\circ = \frac{1}{2} \times (197^\circ + (9x-3)^\circ)$

Step2: Multiply both sides by 2

Eliminate the fraction by multiplying each side by 2.
$2 \times 124^\circ = 197^\circ + 9x - 3^\circ$
$248^\circ = 194^\circ + 9x$

Step3: Isolate the term with x

Subtract $194^\circ$ from both sides.
$248^\circ - 194^\circ = 9x$
$54^\circ = 9x$

Step4: Solve for x

Divide both sides by 9.
$x = \frac{54}{9}$

Answer:

$x=6$