9 square feet = 1 square yard. Hence 178 square feet = 178/9 square yard = 19.77 square yard.
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It has 180 sides if the interior of the (regular) polygon has a total of 178 'degrees'.
Well, honey, a polygon with 178 degrees as each of its interior angles is a 180-sided shape. It's like trying to fit a square peg into a round hole - it just ain't gonna work. So, grab your protractor and count those sides if you don't believe me.
It is 313 - 178 = 135.
180
If each interior angle is 178 degrees then the regular polygon will have 180 sides.