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One exterior angle of a regular polygon measures 30 what is the sum of the polygons exterior angle measures?
If the exterior angle is 30o then the shape has 360/30 = 12 sides. An interior angle = 180 - exterior angle = 180 - 30 = 150. Since the shape has 12 sides the interior angles sum to 150 x 12 = 1800o.
How many sides a polygon have with an angle 30?
Smallest possible interior angle of regular polygon is 60 degrees (triangle). The greater the number of sides, the greater each interior angle. If exterior angle is 30 degrees, the polygon has 12 sides.
What is the interior angle of a regular dodecagon?
Each interior angle measures 144 degrees* * * * *No! The sum of the exterior angles of a polygon is always 360 degrees - no matter how many sides, So the extrior angle of a regular dodecagon is 360/12 = 30 degrees. Since the interior and exterior angles are supplementary, the interior angle is 180-30 = 150 degrees.
How many sides does a regular polygon have if the measure of one interior angle is 150?
if the interior angle is 150 the exterior angle equals 30. since exterior angle equals 360/ by number of sides the number of sides equals 360/30 which equal 12
What is the measure of a central angle of a regular 12 sided polygon?
Each side subtends a central angle of 30 degrees.
