Question

the diagram shows a triangle. what is the value of c? c = \boxed{}°

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \((2c + 6) + (2c - 2) + 4c = 180\).

Step2: Combine like terms

Simplify the left - hand side: \(2c+6 + 2c-2 + 4c=8c + 4\). So, \(8c + 4=180\).

Step3: Solve for c

Subtract 4 from both sides: \(8c=180 - 4=176\). Then divide by 8: \(c=\frac{176}{8}=22\).

Answer:

\(22\)