Question

solve for \\( \angle y \\). submit your answer in terms of degrees. draw

Explanation:

Step1: Use the property of parallel lines and transversal

When two parallel lines are cut by a transversal, the sum of an interior angle on one side and its corresponding angle on the other side is \(180^{\circ}\). Here, the angle \(102^{\circ}\) and \(y\) are related as \(102 + y=180\) (co - interior angles).

Step2: Solve the equation for \(y\)

Subtract \(102\) from both sides of the equation \(y = 180 - 102\).

Answer:

\(y = 78^{\circ}\)