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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.
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 is the measure of an interior angle of a regular polygon of 12 sides?
There is a formula which can help.The sum of the interior angles of a polygon is 2n - 4 right angles.When n = 12 then the interior angles total (2 x 12) - 4 = 24 - 4 = 20 right angles.Then for a regular polygon, each angle measures (20 x 90) / 12 = 150°.When the polygon is a regular polygon then it is perhaps quicker to calculate the external angle from which the interior angle can then be determined.Exterior angle = 360 /12 = 30°Interior angle = 180 - 30 = 150°
What is an angle measure of regular 12 sided polygon?
Each exterior angle measures 30 degrees Each interior angle measures 150 degrees
What polygon has the interior angles of 150 degrees?
A regular 12 sided polygon each interior angle measures 150 degrees
What is each interior angle of a 12 sided polygon?
Each interior angle in 12-sided polygon is 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
What is the size of each interior angle of a 12 sided polygon?
If it is a regular 12 sided polygon then each interior angle is 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 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.
What is the degree of an angle in a 12 sided polygon?
Interior angle is 150 degrees.
What is the measure of an interior angle of a regular twelve-sided polygon?
150 degrees
What is the measure of 1 interior angle of a 12 sided polygon?
(12-2)180/12 = 150 for a regular 12 sided polygon
What would the measure of an interior angle be for a regular 12-sided polygon?
150 degrees
What is the name of a 150 sided polygon?
The name of a 150 sided polygon is Hectapentacontagon.
What is the name of the figure whose interior angles all equal 150 degrees?
To find the number of sides for this regular polygon, you can use this formula: (180(n - 2))/n = 150.In it, n is the number of sides and 150 was plugged in for the measure of one of the interior angles. Here are the steps:180(n - 2) = 150n180n - 360 = 150n30n = 360n = 12This means that the polygon has 12 sides. A 12-sided polygon is called a dodecagon.
