Question

60° 5x 60°

Explanation:

Step1: Use the triangle angle sum property

The sum of angles in a triangle is \(180^{\circ}\). Given two angles are \(60^{\circ}\) and \(60^{\circ}\), and the third angle is related to \(x\) (but since all angles are \(60^{\circ}\), it's an equilateral triangle where all sides are equal. Wait, no, actually, using the angle sum formula: \(60 + 60+5x = 180\).

Step2: Simplify the equation

\(120 + 5x=180\).
Subtract \(120\) from both sides: \(5x=180 - 120\), so \(5x = 60\).

Step3: Solve for \(x\)

Divide both sides by \(5\): \(x=\frac{60}{5}\).

Answer:

\(x = 12\)