Question

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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 $180^\circ$.
$m\angle1 = 180^\circ - 19^\circ - 41^\circ = 120^\circ$

Step2: Use vertical angle property

Vertical angles are congruent.
$m\angle2 = m\angle1 = 120^\circ$

Step3: Verify angle y (optional check)

Sum of angles in top triangle is $180^\circ$.
$y = 180^\circ - 38^\circ - 120^\circ = 22^\circ$ (consistent with vertical angle logic)

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.