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If this shape is a regular 12-sided polygon, then the sum of its angles is 1,800 degrees [(n -2)180]. So the measure of one angle is 150 degrees (1,800/12), and the exterior angle is 30 degrees (180 - 150).

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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.


What shape has 150 in each interior angle?

If the interior angle is 150° then the exterior angle measures 180 -150 = 30°. The sum of the exterior angles of a regular or convex polygon = 360° The number of sides is therefore 360/30 = 12 sides The shape is a dodecagon.


What is the rule to get the number of sides of a regular polygon when given the interior angle?

180-interior angle = exterior angle 360/exterior angle = number of sides


Interior angle of and 18 sided shape?

Exterior angle + interior angle = 180 Hence Interior Angle = 180 - Exterior Angle The Exterior Angle = n(No. of sides ) / 360 Substituting Interior Angle = 180 - (n/360) Interior Angle = 180 - (18/360) Interior Angle = 180 - (1/20) Interior Angle = 179.95 degrees.


Give the formulas for finding the number of sides of a regular polygon when given the measure of an interior angle?

180-interior angle = exterior angle 360/exterior angle = number of sides


What is the measures of an interior angle and an exterior angle of a regular polygon with 6 sides?

Interior angle = 120 degrees Exterior angle = 60 degrees


How do you find a exterior angle?

180-interior angle = exterior angle If it's a regular polygon then: 360/number of sides = exterior angle


What is the exterior and interior angles of a regular polygon with 30 sides?

Exterior angle 12 degrees Interior angle 168 degrees


What is the interior and exterior angle of a regular polygon with 24 sides?

Each interior angle is 165 degrees Each exterior angle is 15 degrees


What are the interior and exterior angles of a regular polygon?

If the polygon has n sides, each exterior angle is 360/n degrees.The interior angle is 180 less exterior angle.


What is the interior and exterior angle of a regular 100-pentagon?

There's no such shape because a pentagon has only 5 sides. If you meant a regular 100 sided polygon then the answers are:- Exterior angle: 3.6 degrees Interior angle: 176.4 degrees


What is the exterior and interior angles of a polygon with 30 sides?

A regular polygon of 30 sides will each have an exterior angle of 12 degrees and an interior angle of 168 degrees.