Question

1. draw the picture and find the measure of each angle.

∠1 and ∠2 are supplementary. ∠2 and ∠3 are supplementary. m∠1 = 133°.
m∠1 =
m∠2 =
m∠3 =

Explanation:

Step1: Find \(m\angle2\)

Since \(\angle1\) and \(\angle2\) are supplementary, \(m\angle1 + m\angle2=180^{\circ}\). Given \(m\angle1 = 133^{\circ}\), then \(m\angle2=180^{\circ}-m\angle1\).
\(m\angle2 = 180^{\circ}-133^{\circ}=47^{\circ}\)

Step2: Find \(m\angle3\)

Since \(\angle2\) and \(\angle3\) are supplementary, \(m\angle2 + m\angle3=180^{\circ}\). Given \(m\angle2 = 47^{\circ}\), then \(m\angle3=180^{\circ}-m\angle2\).
\(m\angle3 = 180^{\circ}-47^{\circ}=133^{\circ}\)

Answer:

\(m\angle1 = 133^{\circ}\), \(m\angle2 = 47^{\circ}\), \(m\angle3 = 133^{\circ}\)