A regular polygon has angles of the same length.
We know that the inner angles' sum of a polygon depends on its number of sides. It is given by the formula:
180º (n - 2) where n is the number of sides.
In this case, the triangle has 3 sides, then n = 3:
180º (n - 2)
= 180º (3 - 2)
= 180º (1)
= 180º
then if we add all its angles it will result in 180º
Since all its angles have the same measure and it has 3, then
[tex]y=\frac{180}{3}=60[/tex]Then, y = 60º
Now, we can find x
Then
x + 60º = 180º
Then, x = 120º