Question

125° 5z 6z z = ____

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. Let the third - angle of the triangle be \(y\). So, \(125^{\circ}+5z + 6z=180^{\circ}\).

Step2: Combine like - terms

Combine the \(z\) terms: \(125^{\circ}+11z = 180^{\circ}\).

Step3: Isolate the variable term

Subtract 125° from both sides: \(11z=180^{\circ}- 125^{\circ}\), so \(11z = 55^{\circ}\).

Step4: Solve for \(z\)

Divide both sides by 11: \(z=\frac{55^{\circ}}{11}=5^{\circ}\).

Answer:

\(5^{\circ}\)