Question

the diagram shows a triangle.
what is the value of a?
a = \square^\circ

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(4a + 2a + 60^\circ = 180^\circ\).

Step2: Combine like terms

Simplify the left - hand side: \(6a+60^\circ = 180^\circ\).

Step3: Solve for a

Subtract \(60^\circ\) from both sides: \(6a=180^\circ - 60^\circ=120^\circ\). Then divide both sides by 6: \(a = \frac{120^\circ}{6}=20^\circ\).

Answer:

\(20\)