Question

for the figure on the right, answer fig

1. find ( m angle 1, m angle 2 ), and ( m angle 3 ). explain your reasoning.

(reasoning options are types of angle pairs)
( m angle 1= )____
( m angle 1 ) reasoning:____
( m angle 2= )____
( m angle 2 ) reasoning:____
( m angle 3= )____
( m angle 3 ) reasoning:____

Explanation:

Step1: Find \(m\angle1\)

Corresponding angles are equal. So \(m\angle1 = 57^{\circ}\)

Step2: Find \(m\angle2\)

\(\angle1\) and \(\angle2\) are vertical angles. Vertical angles are equal. So \(m\angle2 = 57^{\circ}\)

Step3: Find \(m\angle3\)

\(\angle2\) and \(\angle3\) are corresponding angles. Corresponding angles are equal. So \(m\angle3 = 57^{\circ}\)

Answer:

\(m\angle1 = 57^{\circ}\) (Corresponding angles are equal)
\(m\angle2 = 57^{\circ}\) (Vertical angles are equal)
\(m\angle3 = 57^{\circ}\) (Corresponding angles are equal)