Question

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

AND IF YOU POST JUST FOR POINTS I WILL REPORT YOU TILL YOUR BOOTED OFF

Answer 1

`\angle 1=39\textdegree`

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!