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 angles which we know are (i.e. equal in measure). the other angle
relationship is the of the angles of a
triangle. we know that if we add all the angles in a triangle
they will add to degrees.
check

Explanation:

Step1: Find the measure of angle 1

We know that the sum of angles in a triangle is \(180^{\circ}\). For the left - hand triangle, if two angles are \(19^{\circ}\) and \(44^{\circ}\), then angle \(1=180-(19 + 44)\)

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Step2: Use the vertical - angle relationship

Angle \(1\) and angle \(2\) are vertical angles. Vertical angles are equal in measure. So angle \(2 = 117^{\circ}\)

Step3: Find the measure of angle \(y\)

For the right - hand triangle, using the angle - sum property of a triangle (\(180^{\circ}\)). If one angle is \(38^{\circ}\) and angle \(2 = 117^{\circ}\) (but wait, no, actually, we made a mistake above. Wait, angle \(1\) and angle \(2\) are vertical angles. Then for the right - hand triangle, we use the angle - sum formula \(y=180-(38 + 2)\). But since \(1 = 2\) (vertical angles), and for the left - hand triangle \(1=180-(19 + 44)=117^{\circ}\), so for the right - hand triangle \(y = 180-(38+117)\)

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Answer:

The measure of angle \(y\) is \(25^{\circ}\)