The number of sides the polygon is 8 and the polygon is an octagon. The sum of the measures of the polygon's interior angles is 1080°.
How to determine the polygon from the given information in the question ?
Given that each exterior angle of a regular polygon measures 45 degrees.
Therefore from the definition of a n-sided polygon, we know that the given polygon should have 8 sides and therefore it is a octagon.
As the exterior angles of polygon measure 45° .
Therefore the value of each interior angles is = (180° - 45°) = 135°
As the polygon has 8 sides, the total measure of the interior angle is -
8 * 135° = 1080° .
The measure of interior angle of an octagon is 1080° .
Thus the number of sides the polygon is 8 and the polygon is an octagon. The sum of the measures of the polygon's interior angles is 1080°.
To learn more about polygon, refer -
https://brainly.com/question/1187924
#SPJ2
