Question

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

Explanation:

Step1: Apply triangle angle - sum property

The sum of angles in a triangle is \(180^{\circ}\). So, \(36^{\circ}+2a + 2a=180^{\circ}\).

Step2: Simplify the equation

Combine like terms: \(36 + 4a=180\).
Subtract \(36\) from both sides: \(4a=180 - 36\), so \(4a = 144\).

Step3: Solve for \(a\)

Divide both sides by \(4\): \(a=\frac{144}{4}\).

Answer:

\(36\)