Question

find the unknown angle measure.
figure is not to scale

Explanation:

Step1: Use the property of triangle angle sum

The sum of interior angles of a triangle is \(180^{\circ}\). So \(x + x+37 = 180\).

Step2: Simplify the equation

Combine like - terms: \(2x+37 = 180\). Then subtract 37 from both sides: \(2x=180 - 37\), so \(2x = 143\).

Step3: Solve for \(x\)

Divide both sides by 2: \(x=\frac{143}{2}=71.5\).

Answer:

\(71.5\)