Answer and Step-by-step explanation:
The lines are parallel, so that means that some angles are congruent to each other.
On the other side of 80 degrees, it would be 100 degrees (180 - 80 = 100).
Using the interior angles theorem, this means that the angle in the triangle and 50 added up are equal to 100. So, the angle C is equal to 50.
Now, because of the triangle angles sum theorem, the angles have to add up to 180, so we do 180 - 80 - 50, which is 50 (for angle A).
So, since the two angles have 50 degrees, the triangle is an isosceles triangle.
Hope this helps! (That is the explanation btw)
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