Question

1. m∠efg
2. m∠stu

Explanation:

Step1: Use the property of consecutive interior angles

Since the two lines are parallel (marked by the red arrows), the sum of \(13x^{\circ}\) and \(17x^{\circ}\) is \(180^{\circ}\) (consecutive interior angles are supplementary). So, \(13x + 17x=180\).

Step2: Solve the equation for \(x\)

Combine like - terms: \(30x = 180\). Then divide both sides by 30: \(x=\frac{180}{30}=6\).

Step3: Calculate \(m\angle EFG\)

\(m\angle EFG=13x + 17x\). Substitute \(x = 6\) into the expression: \(m\angle EFG=(13 + 17)\times6=30\times6 = 180^{\circ}\).

Answer:

\(180^{\circ}\)