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A regular 12 sided polygon each interior angle measures 150 degrees
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∙ 12y ago
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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.
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.
The measure of one interior angle of a regular dodecagon?
It is 150 degrees.
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
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 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.
What is the exterior angle of a regular dodecagon?
For any given polygon, the exterior angles will sum to 360 degrees. Thus, for a regular polygon, dividing by the number of exterior angles (the same as the number of sides) will produce the exterior angle. For a dodecagon (12 sides), 360/12=30 degrees. You can also find the interior angle easily because the interior and exterior angles are supplementary: 180-30=150 degrees for an interior angle.
A regular polygon an exterior angle of 30 What is the size of the interior angle?
Exterior angles are supplementary with interior angles, so 180-30=150
