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
to help find the measure of angle 1, 2 and y we need to
notice the angle relationships. the first angle relationship
we notice is \boxed{} angles which we know are
\boxed{} (i.e. equal in measure). the other angle
relationship is the \boxed{} of the \boxed{} angles of a
triangle. we know that if we add all the angles in a triangle
they will add to \boxed{} degrees.
check

Explanation:

Step1: Find the measure of angle 1

The sum of angles in a triangle is \(180^{\circ}\). For the left - hand triangle with angles \(19^{\circ}\), \(41^{\circ}\), and angle 1.

$$19 + 41+\angle1=180$$

$$60+\angle1 = 180$$

\(\angle1=180 - 60=120^{\circ}\)

Step2: Use the vertical - angle relationship

Angle 1 and angle 2 are vertical angles. Vertical angles are equal in measure. So \(\angle2=\angle1 = 120^{\circ}\)

Step3: Find the measure of angle y

For the right - hand triangle with angles \(38^{\circ}\), \(\angle2 = 120^{\circ}\), and \(y\)

$$38 + 120+y=180$$

$$158+y=180$$

\(y=180 - 158 = 22^{\circ}\)

Answer:

The measure of angle \(y\) is \(22^{\circ}\)