Question

∠2 = 79°. find m∠1, m∠3, and m∠4.

m∠1 = □°
m∠3 = □°
m∠4 = □°

Explanation:

Step1: Find \(m\angle1\)

Vertical angles are supplementary. \(\angle1\) and \(\angle2\) are supplementary.
\(m\angle1 = 180^{\circ}-m\angle2\)
Substitute \(m\angle2 = 79^{\circ}\)
\(m\angle1=180^{\circ}- 79^{\circ}=101^{\circ}\)

Step2: Find \(m\angle3\)

\(\angle2\) and \(\angle3\) are supplementary.
\(m\angle3 = 180^{\circ}-m\angle2\)
Substitute \(m\angle2 = 79^{\circ}\)
\(m\angle3=180^{\circ}-79^{\circ}=101^{\circ}\)

Step3: Find \(m\angle4\)

\(\angle2\) and \(\angle4\) are vertical angles. Vertical angles are equal.
\(m\angle4=m\angle2 = 79^{\circ}\)

Answer:

\(m\angle1 = 101^{\circ}\), \(m\angle3 = 101^{\circ}\), \(m\angle4 = 79^{\circ}\)