Answer: x = 65°
In order to solve this problem you need to know:
1. The sum of the interior angles of a triangle adds up to 180°.
2. Supplementary angles add up to 180°.
3. The sum of the interior angles of a hexagon adds up to 720°.
4. Vertical angles are congruent and have the same measure.
5. The exterior angle of a triangle is the sum of the nonadjacent interior angles.
See attachment for details.