Best Answer

for a regular polygon with N sides, sum of all angles equals (180Â°) * (N - 2)

example: triangle (N = 3): (180Â°) * (3 - 2) = 180Â°

square (N=4): (180Â°) * (4 - 2) = 360Â°

To find each angle, divide by number of sides: triangle: 180Â° / 3 = 60Â°

square: 360Â° / 4 = 90Â°

So for a regular 30-gon (N=30): (180Â°) * (30 - 2) = 5040Â° (sum of all angles)

and 5040Â° / 30 = 168Â° (each angle)

Q: What is the measure of one angle of a regular convex 30-gon?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

140 degrees.

Exterior angle = 360/80 = 4.5 degrees. Interior angle = 180 - 4.5 = 175.5 degrees. And, a regular polygon has to be convex.

Exterior angle of a regular 25-gon = 360/25 = 14.4 degrees. So interior angle = 180-14.4 = 165.6 degrees.

The formula to determine the sum of the interior angles of any regular polygon with n sides is (n-2) * 180. This means the measure of one angle is 168.4 degrees.

The measure of the exterior angle of a convex octagon is indeterminate.

Related questions

140 degrees.

Exterior angle = 360/80 = 4.5 degrees. Interior angle = 180 - 4.5 = 175.5 degrees. And, a regular polygon has to be convex.

Exterior angle of a regular 25-gon = 360/25 = 14.4 degrees. So interior angle = 180-14.4 = 165.6 degrees.

The measure of the exterior angle of a convex octagon is indeterminate.

The formula to determine the sum of the interior angles of any regular polygon with n sides is (n-2) * 180. This means the measure of one angle is 168.4 degrees.

The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.

Any convex figure can have an exterior angle measuring 72 degrees. If you consider only regular polygons, then it wuld be a polygon with 360/72 = 5 sides, that is, a pentagon.

The following are angles in a convex quadrilateral: Angle A = 80 degrees Angle B = 98 degree Angle C = 70 degrees What is the measure of the missing angle?

Any polygon that has an angle that is > 180º is a concave polygon. A convex polygon does not. e.g. All regular polygons are convex.

140

An interior angle of a convex heptagon can have any value in the range (0, 180) degrees.

the measure for a regular rectangle is 69in. by fudge you and measure it yourself.