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The question cannot be answered without assuming that

(a) the figure is a polygon and

(b) it is regular.

There is absolutely nothing in the question to justify making these assumption but since there cannot be any answer other wise, let us assume that they are valid. Then

Interior angle = 171 implies that each exterior angle is 180-171 = 9%

The sum of all axterior angles is 360 degrees.

If the polygon has n sides, then 360/n = 9 so that n = 40.

Therefore the shape if it is a regular polygon, has 40 sides.

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12y ago

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Q: What is the number of sides with the interior angle of 171?
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