Answer:
Octagon.
Explanation:
To find the type of polygon I am going to use a simple formula. The formula of the total sum of the interior angles of a regular polygon.
The total sum of the interior angles of a polygon with x sides is (x-2)180 and we know that each interior angle has a measure of 135°, that is, the total sum of the interior angles will be also 135*x where x is the amount of sides. So,
(x-2)180 = 135x, if we find x we will know how many sides has the polygon and we will know what type of polygon is. Then, let's find x.
(x-2)180 = 135x
180x-360 = 135x
180x - 135x = 360
45x = 360
x = 360/45
x = 8.
Then, the regular polygon has 8 sides, therefore it is an octagon.