Question

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
last thing to do is find the measure of angle y! we know that angle 2 is \boxed{} degrees and we can also see in the triangle that another angle is \boxed{} degrees. we know that if we add all of the angles in a triangle together they add to \boxed{} degrees so, 38 + 120 = \boxed{}. to find the measure of angle y we would 180 - 158 = \boxed{}. so the measure of angle y is \boxed{} degrees.

Explanation:

Step1: Find angle 1

Sum of angles on a line is 180°.
$\text{Angle }1 = 180^\circ - 19^\circ - 41^\circ = 120^\circ$

Step2: Find angle 2

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

Step3: Recall triangle angle sum

Sum of angles in a triangle is $180^\circ$.

Step4: Calculate sum of known angles

Add angle 2 and 38°.
$38^\circ + 120^\circ = 158^\circ$

Step5: Solve for angle y

Subtract sum from 180°.
$y = 180^\circ - 158^\circ = 22^\circ$

Answer:

Angle 2: 120, Another angle: 38, Triangle total: 180, 38+120=158, 180-158=22, Angle y: 22