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 \\(\square\\) degrees and we can also see in the triangle that another angle is \\(\square\\) degrees. we know that if we add all of the angles in a triangle together they add to \\(\square\\) degrees so, 38 + 120 = \\(\square\\). to find the measure of angle y we would 180 - 158 = \\(\square\\). so the measure of angle y is \\(\square\\) degrees.

Explanation:

Step1: Find angle 1

Sum of triangle angles is $180^\circ$.
$19 + 44 + \text{angle }1 = 180$
$\text{angle }1 = 180 - 19 - 44 = 117^\circ$

Step2: Find angle 2

Vertical angles are equal.
$\text{angle }2 = \text{angle }1 = 117^\circ$

Step3: Identify known triangle angle

The triangle with $y^\circ$ has a $38^\circ$ angle.

Step4: Recall triangle angle sum

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

Step5: Calculate sum of known angles

Add angle 2 and $38^\circ$.
$38 + 117 = 157$ (corrected: $38 + 117 = 157$, original prompt typo note: the prompt wrote 120, but correct value is 117)

Step6: Solve for $y$

Subtract sum from $180^\circ$.
$y = 180 - 157 = 23$ (corrected: based on correct angle 2 value; if following prompt's typo of 120: $180 - 158 = 22$)
Note: Using the prompt's provided intermediate number 120 (likely a typo for 117), the final $y$ is 22. Mathematically correct value with angle 2=117 is 23.

(Following the prompt's given calculation sequence exactly):

Step1: Set angle 2 value

$\text{angle }2 = 117$ (prompt uses 120 as typo)

Step2: Identify given triangle angle

Given angle: $38^\circ$

Step3: State triangle angle sum

Total: $180^\circ$

Step4: Sum provided values

$38 + 120 = 158$

Step5: Calculate $y$

$180 - 158 = 22$

Step6: Final $y$ value

$y = 22$

Answer:

Angle 2: 117, Another angle: 38, Triangle total: 180, 38+120=158, 180-158=22, Angle y: 22