Question

in the figure below, m∠2 = 54° and m∠qpr = 152°. find m∠1. m∠1 = °

Explanation:

Step1: Recall angle - sum property

We know that \(m\angle QPR=m\angle1 + m\angle2\).

Step2: Solve for \(m\angle1\)

Rearrange the formula to \(m\angle1=m\angle QPR - m\angle2\). Substitute \(m\angle QPR = 152^{\circ}\) and \(m\angle2 = 54^{\circ}\) into the formula. So \(m\angle1=152 - 54\).

Answer:

\(98\)