Question

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

Explanation:

Step1: Use the triangle angle - sum property

The sum of angles in a triangle is \(180^{\circ}\). So, \(2c + 2c+52^{\circ}=180^{\circ}\).

Step2: Simplify the equation

Combine like terms: \(4c+52^{\circ}=180^{\circ}\).
Subtract \(52^{\circ}\) from both sides: \(4c = 180^{\circ}- 52^{\circ}\), so \(4c=128^{\circ}\).

Step3: Solve for \(c\)

Divide both sides by \(4\): \(c=\frac{128^{\circ}}{4}\).

Answer:

\(32\)