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To find an exterior angle of a regular 12-gon, use the formula to find the total sum of all the angles first: total sum of all angles = (n-2)*180
where 'n' is the number of sides, or 12.
By solving, you will find that the total sum of all angles is 1800 degrees, so since it is a regular polygon, you can divide by 12 to find the measure of each interior angle, which is 150 degrees.
Once you know the measure of the interior angles, since an exterior angle is the supplement of an interior angle, subtract 150 degrees from 180 degrees (the measure of a straight line) to find the exterior angles, which will be 30 degrees.
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What is the measure of the supplementary angle of an interior angle?
The measure of the exterior angle.
What is the measure of an exterior angle adjacent to the vertex angle?
It is: 180-vertex angle = exterior angle
What is an exterior angle of a triangle and how does the measure of an exterior angle relate to the interior angles?
Exterior angle+interior angle=180 degrees and 180-exterior angle=interior angle
Which is greater the measure of an exterior angle of a decagon or a pentagon?
Usually, the measure of an exterior angle of a pentagon is greater.
What is the measure of each exterior angle of a regular 40-gon?
Each exterior angle will measure 9 degrees
