Question

the diagram shows a triangle. what is the value of c? c = \square°

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(30^\circ + 2c + (c - 30^\circ) = 180^\circ\).

Step2: Simplify the equation

Simplify left - hand side: \(30 + 2c + c - 30=3c\). So, \(3c = 180^\circ\).

Step3: Solve for c

Divide both sides by 3: \(c=\frac{180}{3}=60\).

Answer:

\(60\)