Question

what is the value of a? a - 4° a + 36° a

Explanation:

Step1: Apply exterior - angle property of a triangle

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(a + 36^{\circ}=(a - 4^{\circ})+a\).

Step2: Simplify the equation

Expand the right - hand side: \(a + 36^{\circ}=a - 4^{\circ}+a\). Combine like terms: \(a + 36^{\circ}=2a-4^{\circ}\).

Step3: Solve for \(a\)

Subtract \(a\) from both sides: \(36^{\circ}=2a - a-4^{\circ}\). Then \(36^{\circ}=a - 4^{\circ}\). Add \(4^{\circ}\) to both sides: \(a=36^{\circ}+4^{\circ}\).

Answer:

\(a = 40^{\circ}\)