Question

Can someone actually help me before I give up!!!!!!!!!

Answer 1

Answer:

$\angle 1=39\textdegree$

Step-by-step explanation:

Remember that the sum of the interior angles of a triangle always equal 180. Therefore:

$\angle 1+\angle Y+102=180$

Let's subtract 102 from both sides. This yields:

$\angle 1+\angle Y=78$

Now, notice the that both ∠1 and ∠Y have exactly one arc mark.

Arc-marks denote congruence. Therefore, ∠1 and ∠Y are congruent to each other. In other words:

$\angle 1=\angle Y$

So, we can substitute ∠Y for ∠1 for our equation. This yields:

$\angle 1+\angle 1=78$

Combine like terms:

$2\angle 1=78$

Divide both sides by 2. So, the measure of our angle is:

$\angle 1=39\textdegree$

And we're done!