Question

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

Explanation:

Step1: Recall the sum of angles in a triangle

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

Step2: Set up the equation

We have the angles \(37^{\circ}\), \(103^{\circ}\), and \(8a^{\circ}\). So, \(37 + 103+8a=180\).
First, simplify the left - hand side: \(37 + 103=140\), then the equation becomes \(140 + 8a=180\).
Subtract \(140\) from both sides: \(8a=180 - 140\), so \(8a = 40\).
Divide both sides by \(8\): \(a=\frac{40}{8}\).

Answer:

\(a = 5\)