Question

use the diagram and the given and prove statements. given: m ⊥ p and n ⊥ p prove: m || n statements 1. m ⊥ p and n ⊥ p 2. m∠1 = 3. m || n reasons 1. given 2. 3.

Explanation:

Step1: Recall perpendicular - line property

Since \(m\perp p\) and \(n\perp p\), the angles formed by \(m\) and \(p\), and \(n\) and \(p\) are right - angles.

Step2: Identify angle measures

The measure of an angle formed by two perpendicular lines is \(90^{\circ}\). So, \(m\angle1 = 90^{\circ}\) and \(m\angle2=90^{\circ}\) because \(m\perp p\) and \(n\perp p\).

Answer:

\(90^{\circ}\)