Question

due oct 31 by 11:59pm points 100 submitting an external tool answer attempt 2 out of 2 x = y = submit answer

Explanation:

Step1: Find the value of \(x\)

Since \(m\parallel n\), \(x\) and the \(116^{\circ}\) angle are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal. So \(x = 116^{\circ}\).

Step2: Find the value of \(y\)

\(x\) and \(y\) are supplementary angles (they form a linear - pair). The sum of supplementary angles is \(180^{\circ}\). So \(y=180 - x\). Substitute \(x = 116^{\circ}\) into the equation: \(y = 180-116=64^{\circ}\).

Answer:

\(x = 116\), \(y = 64\)