Question

1. solve for x. (4x + 7)° (2x + 5)°

Explanation:

Step1: Set up the equation

The two angles are vertical angles and vertical angles are equal. So we set \(4x + 7=2x + 5\).

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

\(4x-2x + 7=2x-2x + 5\), which simplifies to \(2x+7 = 5\).

Step3: Subtract 7 from both sides

\(2x+7 - 7=5 - 7\), getting \(2x=-2\).

Step4: Divide both sides by 2

\(\frac{2x}{2}=\frac{-2}{2}\), so \(x=-1\).

Answer:

\(x = - 1\)