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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
How do you find the measure of an angle for a regular 12 sided polygon?
Exterior angle: 360/12 = 30 degrees Interior angle: 180-30 = 150 degrees
