Question

solve for the marked angle measure
$(9x - 15)^circ$ $(7x + 25)^circ$

Explanation:

Step1: Set angles equal (vertical angles)

$9x - 15 = 7x + 25$

Step2: Isolate x terms

$9x - 7x = 25 + 15$

Step3: Simplify to solve for x

$2x = 40$
$x = 20$

Step4: Substitute x to find angle

$9(20) - 15 = 180 - 15 = 165$

Answer:

$165^\circ$