Question

using parallel lines find ( mangle 1 ) and ( mangle 2 ). explain your reasoning. (review 3.3 for 4.4) 42.

Explanation:

Step1: Find \( m\angle1 \)

\(\angle1\) and \(129^{\circ}\) are supplementary angles (they form a linear pair).
\(m\angle1 + 129^{\circ}=180^{\circ}\)
\(m\angle1=180^{\circ}- 129^{\circ}=51^{\circ}\)

Step2: Find \( m\angle2 \)

\(\angle2\) and the angle that is \(129^{\circ}\) are alternate - exterior angles. When two parallel lines are cut by a transversal, alternate - exterior angles are congruent.
\(m\angle2 = 129^{\circ}\)

Answer:

\(m\angle1 = 51^{\circ}\) and \(m\angle2=129^{\circ}\)