Question

question image (triangle with angles 60°, 60°, 5x) solve for x.

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(60^\circ + 60^\circ + 5x = 180^\circ\).

Step2: Simplify the equation

First, add the known angles: \(120^\circ + 5x = 180^\circ\). Then, subtract \(120^\circ\) from both sides: \(5x = 180^\circ - 120^\circ = 60^\circ\).

Step3: Solve for x

Divide both sides by 5: \(x = \frac{60^\circ}{5} = 12^\circ\).

Answer:

\(x = 12\)