Question

the diagram shows a triangle. what is the value of v? v = square^{circ} submit

Explanation:

Step1: Use the triangle angle sum theorem

The sum of angles in a triangle is \(180^{\circ}\). So, \(48^{\circ}+2v + 2v=180^{\circ}\).

Step2: Simplify the equation

Combine like - terms: \(48 + 4v=180\).
Subtract 48 from both sides: \(4v=180 - 48\), so \(4v = 132\).

Step3: Solve for \(v\)

Divide both sides by 4: \(v=\frac{132}{4}\).

Answer:

\(v = 33\)