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).
Sorry its 11 years late, but the answer is 360ΒΊ
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.
180-interior angle = exterior angle If it's a regular polygon then: 360/number of sides = exterior angle
Each interior angle: 140 degrees Each exterior angle: 40 degrees
is 720 the interior angle or exterior if exterior then the answer is two if interior then the answer is six
Each exterior angle measures 20 degrees Each interior angle measures 160 degrees
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.
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.
180-interior angle = exterior angle 360/exterior angle = number of sides
180-interior angle = exterior angle 360/exterior angle = number of sides
Interior angle = 120 degrees Exterior angle = 60 degrees
180-interior angle = exterior angle If it's a regular polygon then: 360/number of sides = exterior angle
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
Exterior angle 12 degrees Interior angle 168 degrees
Each interior angle is 165 degrees Each exterior angle is 15 degrees
If the polygon has n sides, each exterior angle is 360/n degrees.The interior angle is 180 less exterior angle.
Interior angle + Exterior angle = 180 So Interior angle = 180 - Exterior angle Interior angle = 4*Exterior angle + 30 Substitute for Interior angle: 180 - Exterior angle = 4*Exterior angle + 30 Collect like terms: 150 = 5*Exterior angle Divide by 5: Exterior angle = 30 deg Therefore number of sides = 360/30 = 12
A regular polygon of 30 sides will each have an exterior angle of 12 degrees and an interior angle of 168 degrees.