Question

1. lines a and b are parallel. what is the measure of angle 4?8. lines c and d are parallel. what is the measure of angle 8?figure not drawn to scale.©math all day, 2023

Explanation:

Step1: Solve for Angle 4

Identify supplementary angle pair.
The given angle $143^\circ$ and angle 4 are same-side interior angles, so they add to $180^\circ$.
$\text{Angle } 4 = 180^\circ - 143^\circ$
$\text{Angle } 4 = 37^\circ$

Step2: Solve for Angle 8

Identify supplementary angle pair.
The given angle $36^\circ$ and angle 8 are same-side interior angles, so they add to $180^\circ$.
$\text{Angle } 8 = 180^\circ - 36^\circ$
$\text{Angle } 8 = 144^\circ$

Answer:

Angle 4: $37^\circ$
Angle 8: $144^\circ$