Question

fill in the blank 1.5 points
assuming the lines are parallel:
what type of angles are ∠1 & ∠7?
are these angles congruent or supplementary?
if m∠7 = 20, find ∠1

Explanation:

Step1: Identify the type of angles

$\angle1$ and $\angle7$ are alternate exterior angles. Alternate exterior angles are formed when a transversal crosses two parallel lines.

Step2: Determine congruency or supplementary

Alternate exterior angles are congruent.

Step3: Calculate $m\angle1$

Since $\angle1\cong\angle7$ and $m\angle7 = 20^{\circ}$, then $m\angle1=20^{\circ}$

Answer:

• Type of angles: Alternate exterior angles
• Congruent or supplementary: Congruent
• $m\angle1$: $20^{\circ}$