Answer:
X= 70º and Y= 60º
Explanation:
Looing at the Triangles, those lines represent that the angles of the other side are equal.
In this case we have an Isosceles triangle and a Equilateral.
We got the angle of 55º and since it is Isosceles we get another 55º getting us 110º.
In a Triangle there is 180º so that would leave x as 70º.
Because there is one solid line for the smaller triangle, this states that it is a equilateral and thus makes y be 60º.