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zhannawk [14.2K]
3 years ago
12

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

Mathematics
1 answer:
Mrac [35]3 years ago
4 0

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!

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Hi there! :)

<u>Answer:</u>

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