Each interior angle of a polygon is 135° . How many sides does it have?
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octagon
Because the octagon is regular, all of its sides and angles are congruent. Thus, the measure of each angle is equal to the sum of its angles divided by 8. Therefore, each angle in the polygon has a measure of 1080/8 = 135 degrees. This means that angle FHG has a measure of 135 degrees.
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135 + exterior angle = 180
interior interior angle = 180-135
exterior angle= 45
so we have to to find the number number of sides:-
number number of sides = 360÷45
= 8 sides
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