Answer: x = 155
Step-by-step explanation:
Glue the two right triangles together to form one larger triangle.
The angle adjacent to the 60 degree angle is 180-60 = 120 degrees.
The angle adjacent to x is 180-x
The larger triangle has the interior angles of:
Those three angles add to 180 (which is true of any triangle)
35+120+180-x = 180
335-x = 180
-x = 180-335
-x = -155
x = 155
Or you can note that 35+120 = 155 which is the summation of the interior angles that aren't adjacent to exterior angle x (refer to the remote interior angle theorem, aka the exterior angle theorem).