Question

find the value of x.

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. The angle \(37^{\circ}\) and \((2x + 3)^{\circ}\) are vertical angles. So we can set up the equation \(2x+3 = 90 - 37\).

Step2: Simplify the right - hand side of the equation

First, calculate \(90-37=53\). Then the equation becomes \(2x + 3=53\).

Step3: Solve for \(x\)

Subtract 3 from both sides of the equation: \(2x=53 - 3\), so \(2x=50\). Then divide both sides by 2: \(x=\frac{50}{2}\).

Answer:

\(25\)