Question

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

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. The angle \(113^\circ\) and \((15x - 37)^\circ\) are vertical angles.
So, the equation is \(15x - 37 = 113\).

Step2: Solve for x

Add 37 to both sides: \(15x - 37 + 37 = 113 + 37\)
Simplify: \(15x = 150\)
Divide both sides by 15: \(\frac{15x}{15} = \frac{150}{15}\)
Simplify: \(x = 10\)

Answer:

The equation is \(15x - 37 = 113\) and the value of \(x\) is \(10\).