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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.
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What is the measure of an angle of a regular dodecagon?
Interior Angle: 150 degrees (Interior Angle Sum: 1800) Exterior Angle: 30 degrees (Exterior Angle Sum: 360)
What is the measure of one exterior angle of a regular dodecagon?
360/12 = 30 degrees
How many degrees are there in each exterior angle of a regular dodecagon?
360/12 = 30 degrees
What is the measurement of the exterior angle of a regular dodecagon?
Sum of exterior angles of an n-gon is 360 degrees. A dodecagon has 12 exterior angles which are all equal and so each is 360/12 = 30 degrees.
What is the measure of each interior angle and exterior of regular dodecagon?
Each exterior angle = 360/12 = 30 degrees. Each interior angle = 180 - 30 =150 degrees.
What is the measure of each exterior angle of a regular dodecagon?
For the 12-sided polygon, each exterior angle is 30 degrees (360/12).
What is the measure of an angle of a regular dodecagon?
Interior Angle: 150 degrees (Interior Angle Sum: 1800) Exterior Angle: 30 degrees (Exterior Angle Sum: 360)
What is the measure of each exterior angle on a regular Dodecagon?
It is: 360/12 = 30 degrees
What is the measure of one exterior angle of a regular dodecagon?
360/12 = 30 degrees
How many degrees are there in each exterior angle of a regular dodecagon?
360/12 = 30 degrees
What is the measurement of the exterior angle of a regular dodecagon?
Sum of exterior angles of an n-gon is 360 degrees. A dodecagon has 12 exterior angles which are all equal and so each is 360/12 = 30 degrees.
What is the measure of each interior angle and exterior of regular dodecagon?
Each exterior angle = 360/12 = 30 degrees. Each interior angle = 180 - 30 =150 degrees.
What is the measure of an interior angle of a regular dodecagon?
Each interior angle measures 150 degrees Each exterior angle measures 30 degrees
How many pairs of consecutive angles does regular dodecagon have?
Each exterior angle is 30 degrees and each interior angle 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.
How many sides does the polygon have if each exterior angle of a regular polygon measures 30 degrees?
It will have 12 sides and it is a dodecagon
Vertex angle of regular 12 gon measures 144 degrees?
No: The sum of the exterior angles of a polygon is 360o. For a dodecagon (12 sides) the exterior angle is 360o / 12 = 30o. The interior and exterior angles are supplementary and so they sum to 180o; thus the interior angle of a dodecagon is 180o - 30o = 150o. For an interior angle of 144o, the exterior angle is 180o - 144o = 36o, so there are 360o / 36o = 10 sides (a decagon).
