Question

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

Explanation:

Step1: Use the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((3c - 43)+4c+(2c - 11)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((3c+4c + 2c)+(-43-11)=180\), which gives \(9c-54 = 180\).

Step3: Solve for \(c\)

Add \(54\) to both sides of the equation: \(9c-54 + 54=180 + 54\), so \(9c=234\). Then divide both sides by \(9\): \(c=\frac{234}{9}\).

Answer:

\(26\)