Question

part a which equation can be used to find the value of x? a 2x + 36 = 58 b 2x + 36 + 58 = 90 c 2x + 36 + 58 = 180 part b what is the value of x? enter the answer in the box. x =

Explanation:

Step1: Identify angle - relationship

Vertical angles are equal. The angles \((2x + 36)^{\circ}\) and \(58^{\circ}\) are vertical angles. So the equation is \(2x+36 = 58\).

Step2: Solve the equation for \(x\)

Subtract 36 from both sides: \(2x=58 - 36\).
\(2x=22\).
Divide both sides by 2: \(x = 11\).

Answer:

A. \(2x + 36=58\)
\(x = 11\)