Question

1. stairs jake is building his staircase with a rail. what measure of ∠1 will ensure that the rail is parallel to the bottom of the staircase?

Explanation:

Step1: Use the property of parallel lines

When two lines are parallel, the corresponding angles are equal. Here, if the rail is parallel to the bottom of the staircase, then ∠1 and the given \(45^{\circ}\) angle are corresponding angles.

Step2: Determine the measure of ∠1

Since corresponding angles of parallel lines are equal, \(m\angle1 = 45^{\circ}\)

Answer:

\(45^{\circ}\)