Question

look at the diagram. which equation can be used to solve for x? 2x + 52 = 90 12x + 42 = 90 2x = 52 12x - 10 = 52 solve for x. x =

Explanation:

Step1: Identify vertical - angles

Vertical angles are equal. The angle measuring $52^{\circ}$ and the angle measuring $(12x - 10)^{\circ}$ are vertical angles.
$12x-10 = 52$

Step2: Solve the equation for x

Add 10 to both sides of the equation:
$12x-10 + 10=52 + 10$
$12x=62$
Divide both sides by 12:
$x=\frac{62}{12}=\frac{31}{6}\approx5.17$

Answer:

$x = \frac{31}{6}$