Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
$48^\circ$
$73^\circ$
$(9x-4)^\circ$

Explanation:

Step1: Sum triangle angles to 180°

$48 + 73 + (9x - 4) = 180$

Step2: Simplify left side

$48 + 73 - 4 + 9x = 180$
$117 + 9x = 180$

Step3: Isolate term with x

$9x = 180 - 117$
$9x = 63$

Step4: Solve for x

$x = \frac{63}{9}$

Answer:

$x = 7$