Question

solve for x.
(5x + 13)°
72°
x =

Explanation:

Step1: Identify angle - relationship

Assume the two vertical - angle pairs are equal. The angle $(5x + 13)^{\circ}$ and the angle $72^{\circ}$ are vertical angles, so they are equal.
$5x+13 = 72$

Step2: Solve the equation for x

Subtract 13 from both sides of the equation:
$5x=72 - 13$
$5x = 59$
Then divide both sides by 5:
$x=\frac{59}{5}=11.8$

Answer:

$11.8$