Question

details

1. complete the activity below, answering all of the questions.
2. when you have finished the guided practice activity, upload a screenshot of your score screen to earn credit for this activity.

challenge #1
fill in the missing words
since we know the measure of angle 1 is
degrees, then we know the measure of angle 2 because angle 1 and angle 2 are vertical angles which means that they are the same measure. so angle 2 is
degrees.
check

Explanation:

Step1: Calculate angle 1

Sum of angles in a triangle is $180^\circ$.
$180^\circ - 19^\circ - 41^\circ = 120^\circ$

Step2: Identify angle relationship

Vertical angles are congruent.
$\text{Angle } 2 = \text{Angle } 1 = 120^\circ$

Step3: Calculate y (supplementary to angle 2)

$180^\circ - 120^\circ - 38^\circ = 22^\circ$ (not required for the fill-in, but to complete the triangle)

Answer:

Since we know the measure of angle 1 is 120 degrees, then we know the measure of angle 2 because angle 1 and angle 2 are vertical angles which means that they are the same measure. So angle 2 is 120 degrees.