Its realy easy if you think about it,
Exterior angle = 180-178 = 2°
because the interior and exterior angle add together make a straight line.
All the exterior angles add up to 360° so if each exterior angle is 2° then the number of corners is 360÷2=180 and the number of sides is also 180.
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If its a regular polygon then 180-interior angle and divide the answer into 360 which will give the number of sides of the polygon.
If each interior angle is 178 degrees then the regular polygon will have 180 sides.
If it is a regular polygon and each interior angle is 176 degrees then it will have 90 sides.
72.
48 sides A formula for finding the number of sides of a regular polygon given an interior angle: 360/(180-angle)=sides