Question

(2x + 4)° find x

Explanation:

Step1: Identify the triangle type

The triangle is equilateral (all sides are equal), so all angles are \(60^{\circ}\).

Step2: Set up the equation

Since the exterior angle \((2x + 4)^{\circ}\) and the interior angle of the equilateral triangle (\(60^{\circ}\)) are supplementary (they form a linear - pair), we have the equation \(2x+4 + 60=180\).
Simplify the left - hand side: \(2x+64 = 180\).

Step3: Solve for \(x\)

Subtract 64 from both sides: \(2x=180 - 64\), so \(2x = 116\).
Divide both sides by 2: \(x=\frac{116}{2}\).

Answer:

\(x = 58\)