Question

what is the value of z? z =

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, \((z + 5)+(z + 3)+(z + 41)=180\).

Step2: Combine like - terms

Combine the \(z\) terms and the constant terms: \(z+z + z+5 + 3+41 = 180\), which simplifies to \(3z+49 = 180\).

Step3: Isolate the variable term

Subtract 49 from both sides of the equation: \(3z=180 - 49\), so \(3z = 131\).

Step4: Solve for \(z\)

Divide both sides by 3: \(z=\frac{131}{3}\approx43.67\).

Answer:

\(z=\frac{131}{3}\)