find the value of x and y.

Hey there mate ;), I'm Benjemin.
Nice to meet you.
Now let's solve your question :)
Step 1:- Re-draw the triangle. Check the attached first image.
Step 2:- Considering the triangle ABC, it can be seen that the triangle is isosceles. This means that angles ABC and ACB are equal. To get the value of X,
[tex]110 + x + x = 180 \\ = > 110 + 2x = 180 \\ = > 2x = 108 - 110 \\ = > 2x = 70 \\ = > x = \frac{70}{2} \\ = > x = 35[/tex]
Step 3:- Draw another part of the picture to find the other X, for it, check second attached image.
To get BCD, Using alternate angles theorem,
ABC = BCD (Alternate angles are equal)
=> ABC = 35°
=> x = BCD = 35°
Therefore, value of x is 35° and 2X=2×35=70°