Question

m∠1 = m∠2 =

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. The angle of \(140^{\circ}\) and \(\angle2\) are vertical angles. So \(m\angle2 = 140^{\circ}\).

Step2: Use linear - pair relationship

\(\angle1\) and the \(140^{\circ}\) angle form a linear pair. Since the sum of angles in a linear pair is \(180^{\circ}\), we have \(m\angle1=180 - 140\).
\(m\angle1 = 40^{\circ}\)

Answer:

\(m\angle1 = 40^{\circ}\), \(m\angle2 = 140^{\circ}\)