Question

what is the value of a? a =

Explanation:

Step1: Apply angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. So, \(32^{\circ}+(a + 11^{\circ})+(3a-5^{\circ})=180^{\circ}\).

Step2: Combine like - terms

Combine the constant terms and the terms with \(a\): \((32 + 11-5)+(a + 3a)=180\), which simplifies to \(38 + 4a=180\).

Step3: Isolate the variable term

Subtract 38 from both sides: \(4a=180 - 38\), so \(4a=142\).

Step4: Solve for \(a\)

Divide both sides by 4: \(a=\frac{142}{4}=35.5\).

Answer:

\(35.5\)