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How many sides has a regular polygon if each interior angle is 168 degrees?
30
How many sides would a regular polygon have if each central angle has the measure of 30?
Total central angle = 360 degrees. Each angle = 30 degrees so number of angles = 360/30 = 12. So the polygon would have 12 sides.
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
How many sides does a regular polygon have if the measures of each exterior angle equals 12 degrees?
The regular polygon whose exterior angle measure is 12 degrees, has 30 sides (360/12, since the exterior angles on any polygon always add up to 360 degrees).
Calculate number of sides of a regular polygon has if an interior angle is five times the size of an exterior angle?
Suppose the interior angle is x degrees. Then the exterior angle is 180 - x degrees. x = 5*(180-x) = 900 - 5x So 6x = 900 so that x = 150 degrees. So exterior angle = 30 degrees. If the polygon has n sides (and n angles) the sum of its exterior angles is 30*n But the exterior angles of a polygon add to 360 degrees So 30*n = 360 so that n = 12. ANSWER: 12 sides.
