Question

find x. x = 29 x = -13 x = 20 x = 3 (4x + 16)° (2x - 10)°

Explanation:

Step1: Set up the equation

Since the two angles are vertical - angles (opposite angles formed by two intersecting lines) and vertical angles are equal, we set up the equation \(4x + 16=2x - 10\).

Step2: Subtract \(2x\) from both sides

\(4x-2x + 16=2x-2x - 10\), which simplifies to \(2x+16=-10\).

Step3: Subtract 16 from both sides

\(2x+16 - 16=-10 - 16\), resulting in \(2x=-26\).

Step4: Divide both sides by 2

\(\frac{2x}{2}=\frac{-26}{2}\), so \(x=-13\).

Answer:

\(x = - 13\)