Question

(13x + 66)° 118° (a) write an equation to find x. make sure you use an \=\ sign in your answer. equation: (b) solve for x. x =

Explanation:

Step1: Identify Vertical Angles

The angles \((13x + 66)^\circ\) and \(118^\circ\) are vertical angles, so they are equal. Thus, the equation is \(13x + 66 = 118\).

Step2: Solve for \(x\)

Subtract 66 from both sides: \(13x = 118 - 66\)
Calculate \(118 - 66 = 52\), so \(13x = 52\)
Divide both sides by 13: \(x = \frac{52}{13}\)
Simplify: \(x = 4\)

Answer:

(a) Equation: \(13x + 66 = 118\)
(b) \(x = 4\)