Question

due oct 31 by 11:59pm points 100
submitting an external tool

question

given ( m parallel n ), find the value of ( x ) and ( y ).

answer

Explanation:

Step1: Use the property of corresponding angles

Since \(m\parallel n\), the angle \(x^{\circ}\) and the \(41^{\circ}\) angle are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal. So \(x = 41\).

Step2: Use the property of supplementary angles

The angles \(x^{\circ}\) and \(y^{\circ}\) are supplementary (they form a linear - pair). The sum of angles in a linear - pair is \(180^{\circ}\). So \(x + y=180\). Substitute \(x = 41\) into the equation: \(41 + y=180\). Then \(y=180 - 41\).

Answer:

\(x = 41\), \(y = 139\)