Question

solve for the value of x. solving for vertical angles 101° (3x - 7)°

Explanation:

Step1: Identify vertical - angle property

Vertical angles are equal. So, \(101^{\circ}=(3x - 7)^{\circ}\).

Step2: Solve the equation for \(x\)

Add 7 to both sides of the equation: \(101 + 7=3x-7 + 7\), which simplifies to \(108 = 3x\). Then divide both sides by 3: \(x=\frac{108}{3}=36\).

Answer:

\(x = 36\)