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Calculate the number of sides in a regular polygon if its exterior angle is one sixth of a complete angle |
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Answer» GIVEN : Its exterior ANGEL is one sixth of a complete angle complete angle is 360 °
Exterior angle = 360 ° / 6 Exterior angle = 60 ° This is a exterior Angle To FIND the interior angle
Interior angle = 90° - 60° Interior angle = 30° To find the number of sides
we know ,The RELATIONSHIP between Interior angel and number of sides
a × n = 360° 30° × n = 360° n = 360°/30° n = 12
Number of sides in the regular polygon is 12 Name of this polygon is dedacogon. That is shown in above imageHope I am answer for your questionplease mark me as the BRAINLIEST and follow me |
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