Question

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

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(5c + 2c+2c=180\).

Step2: Combine like terms

\(9c = 180\).

Step3: Solve for \(c\)

Divide both sides by \(9\): \(c=\frac{180}{9}\).

Answer:

\(20\)