Question

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

Explanation:

Step1: Use the triangle angle - sum property

The sum of interior angles of a triangle is \(180^{\circ}\). So, \(40^{\circ}+2a + 3a=180^{\circ}\).

Step2: Combine like terms

Combine \(2a\) and \(3a\). We get \(40^{\circ}+5a = 180^{\circ}\).

Step3: Isolate the variable \(a\)

Subtract \(40^{\circ}\) from both sides: \(5a=180^{\circ}- 40^{\circ}\). Then \(5a = 140^{\circ}\). Divide both sides by \(5\): \(a=\frac{140^{\circ}}{5}\).

Answer:

\(28\)