Question

x = 48 (do not include the degree symbol in your answer.) y = (do not include the degree symbol in your answer.)

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, if one of the non - right angles formed by the intersecting lines is \(x = 48\), then the angle opposite to it (vertical angle) is also \(48\).

Step2: Use complementary - angle property

We know that in a right - angled situation (where there is a \(90^{\circ}\) angle formed by the intersection of lines), \(y+48 = 90\).
Subtract \(48\) from both sides of the equation: \(y=90 - 48\).

Answer:

\(y = 42\)