answersLogoWhite

0

A regular 12 sided polygon each interior angle measures 150 degrees

User Avatar

Wiki User

13y ago

What else can I help you with?

Continue Learning about Algebra

What is angle that exact 150 degrees?

The interior angles of a regular 12-sided polygon. Total angles 90(24 -4) ie 1800 degrees ie 12 x 150


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.


What is the interior angle of a 27 sided shape?

To find the interior angle of a polygon, you can use the formula: interior angle = (n-2) * 180 / n, where n is the number of sides of the polygon. In this case, for a 27-sided shape, the interior angle would be (27-2) * 180 / 27 = 150 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.


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.

Related Questions

What is the measure of an exterior angle of a regular polygon in which the interior angles measures 150 degrees?

30 degrees


Can a regular polygon have an angle measuring 150 degrees?

Yes and it will have 12 equal interior angles of 150 degrees and 12 sides


Which regular polygons have interior angles of 150 degrees?

Regular polygons with interior angles of 150 degrees are dodecagons (12-sided polygons). The formula for the interior angle of a regular polygon is ((n-2) \times 180^\circ / n), where (n) is the number of sides. Setting this equal to 150 degrees and solving for (n) confirms that only the dodecagon meets this criterion. Thus, the only regular polygon with interior angles of 150 degrees is the regular dodecagon.


The sum of the measures of the interior angles of a regular polygon is 1800 what is the measure of each interior angle?

The polygon will have 12 equal sides and each interior angle measures 150 degrees.


What is angle that exact 150 degrees?

The interior angles of a regular 12-sided polygon. Total angles 90(24 -4) ie 1800 degrees ie 12 x 150


What is a dudecagon?

A dudecagon is a polygon with twelve sides and twelve angles. Each angle in a dudecagon measures 150 degrees, and the sum of the interior angles is always 1800 degrees.


What is the measure of one interior angle of a regular 12 gon?

Each interior angles measures 150 degrees


What is the number of sides of a regular polygon with each interior angle equal to 150 degrees?

It is a 12-sided polygon, a dodecagon.The exterior angle for a polygon of n sides is 360/n.Each of the interior angles are supplementary angles (180-exterior angle).(180-150) n = 36030n = 360n = 12


How many sides are in a regular polygon if the measure of each interior angle 150?

12 The sum of a regular polygon's interior angles is always 180(n-2) where n is the number of sides. Therefore, for a regular polygon to have interior angles of 150 degrees, we use the following equation: [180(n-2)]/n=150 (180n-360)/n=150 180n-360=150n 30n=360 n=12


What are the number of sides in a polygon if each interior angle is 150 degrees?

Since each interior angle is 150 degrees, each exterior angle is 180-150 = 30 degrees. Therefore, the polygon has 360/30 = 12 sides.


What is each interior angle of a 12 sided polygon?

Each interior angle in 12-sided polygon is 150 degrees.


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.