It has 40 sides 180-171=9 360/9=40
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If they are both regular polygons then it is the octagon which is 135 degrees whereas the hexagon is 120 degrees
If one interior angle is 165 degrees, find the number of sides of the polygon.
If it is a regular polygon and each interior angle is 176 degrees then it will have 90 sides.
Any number of sides of 5 and above because all interior angles of regular polygons in this category will have obtuse interior angles.
interior angle = (number of sides - 2) * 180 / (number of sides) = 4 * 180 / 6 = 120 degrees