Question

use the figure to find the value of x.
(13x + 10)°
166°
(a) write an equation to find x. make sure you use an \=\ sign in your answer.
equation:

Explanation:

Step1: Set up the equation

Since the two angles are vertical angles and vertical angles are equal, we have the equation $13x + 10=166$.

Step2: Solve for x

Subtract 10 from both sides: $13x=166 - 10$, so $13x=156$. Then divide both sides by 13: $x=\frac{156}{13}$, and $x = 12$.

Answer:

$x = 12$