Final Answer:
The size of each exterior angle of the decagon is 36°.
Step-by-step explanation:
The sum of exterior angles of any polygon is always 360°.
For a decagon, there are 10 exterior angles.
The sum of the 8 known exterior angles is 310°, leaving 360° - 310° = 50° for the remaining 2 angles.
Since the remaining two angles are equal, each of them is 50° / 2 = 25°.
Therefore, each exterior angle of the decagon is 360° / 10 = 36°.
The size of each exterior angle is 36°, and the equal remaining angles are 25° each, totaling 36° + 25° = 61°.
However, the question specifically asks for the size of each exterior angle, which is 36°.