Question

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

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of angles in a triangle is \(180^{\circ}\).

Step2: Set up the equation

Let \(a\) be the unknown angle. Then \(a + 64^{\circ}+64^{\circ}=180^{\circ}\).

Step3: Solve for \(a\)

\(a=180^{\circ}-(64^{\circ}+64^{\circ})\)
\(a = 180^{\circ}-128^{\circ}\)
\(a=52^{\circ}\)

Answer:

\(52\)