In any polygon, its exterior angles are the angles that form a straight line with its interior angles:
Then, we have that:
exterior angle + interior angle = 180º
We have that in this case the exterior angle is 24º. Then:
exterior angle + interior angle = 180º
↓ since exterior angle = 24º
24º + interior angle = 180º
↓ taking 24º to the right side of the equation
interior angle = 180º - 24º = 154º
interior angle = 154º
The measure of the interior angles of this polygon is 154º.
Answer: one interior angle = 154 Degrees.
