The missing sides are
y = 66 degrees
x = 48 degrees
How to find the missing sides
The missing sides are solved as follows
114 + y = 180 (angles on a straight line) and base angles of isosceles triangle are equal
y = 180 - 114
y = 66 degrees
Then using sum of angles in a triangle
66 + 66 + x = 180
x = 180 - 66 - 66
x = 48 degrees