120 sides.
Sum of exterior angles of a polygon = 360o (= number_of_sides x exterior_angle for a regular polygon).
For 177o interior angle, exterior angle = 180o - 177o = 3o.
Thus:
360o = numb_of_sides x 3o
=> number_of_sides = 360o / 3o
= 120
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Smallest possible interior angle of regular polygon is 60 degrees (triangle). The greater the number of sides, the greater each interior angle. If exterior angle is 30 degrees, the polygon has 12 sides.
Providing that it is a regular polygon it will have 8 sides.
How many sides does a regular polygon have if the measure of each interior angle is equal to 172 degress ?
Interior angle 156 degrees Exterior angle 24 degrees 360/24 = 15 sides
if the interior angle is 150 the exterior angle equals 30. since exterior angle equals 360/ by number of sides the number of sides equals 360/30 which equal 12