Question

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

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). So, if the angles of the triangle are \(54^{\circ}\), \(67^{\circ}\), and \(c\), then \(54 + 67 + c=180\).

Step2: Solve for \(c\)

First, calculate \(54 + 67 = 121\). Then, from \(121 + c = 180\), we can find \(c\) by subtracting 121 from 180. So, \(c=180 - 121\).

Answer:

\(c = 59^{\circ}\)