Solve for x.

58 degrees
The sum of the exterior angles of a polygon is 180 (n – 2), where n represents the number of sides. The sum of the angles of a pentagon (five sides) is equal to
The pentagon is missing one interior angle, which you can call y:
The interior and exterior angles of a polygon are supplementary. Therefore,

20 degrees
The sum of the interior angles of a polygon is 180 (n – 2), where n represents the number of sides. The sum of the angles of a hexagon (six sides) is equal to
Add the interior angles, set the sum equal to 720, and solve for x: