Each angle of a regular polygon is 170° . a) What is the measure of each outer angle ? b) How many sides does it have ?
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VERIFIED ANSWER
Step-by-step explanation:
A regular polygon with each interior angle of 170 deg will have each exterior angle as 180–170 = 10 deg. Hence the number of sides in the regular polygon = 360/10 = 36 sides
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Hey armi
Step-by-step explanation:
A regular polygon with each interior angle of 170 deg will have each exterior angle as 180–170 = 10 deg. Hence the number of sides in the regular polygon = 360/10 = 36 sides
If the interior angle is 170 degrees, the exterior angle is 10 degrees. The exterior angle of a regular polygon with n sides has a measure of 360/n degrees. So, since the exterior angle of this polygon has measure 10 degrees, then it has 360/10=36 sides.
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