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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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Q: How many sides does a shape with an interior angle of 177?
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