0
for a regular polygon with N sides, sum of all angles equals (180°) * (N - 2)
example: triangle (N = 3): (180°) * (3 - 2) = 180°
square (N=4): (180°) * (4 - 2) = 360°
To find each angle, divide by number of sides: triangle: 180° / 3 = 60°
square: 360° / 4 = 90°
So for a regular 30-gon (N=30): (180°) * (30 - 2) = 5040° (sum of all angles)
and 5040° / 30 = 168° (each angle)
Add your answer:
Earn +20 pts
What is the measure of each interior angle in a regular convex nonagon?
140 degrees.
What is the measure of one angle of a regular convex 80 gon?
Exterior angle = 360/80 = 4.5 degrees. Interior angle = 180 - 4.5 = 175.5 degrees. And, a regular polygon has to be convex.
What is the measure of one angle of a regular convex 25 gon?
Exterior angle of a regular 25-gon = 360/25 = 14.4 degrees. So interior angle = 180-14.4 = 165.6 degrees.
What is the measure of the exterior angles of a convex octagon?
The measure of the exterior angle of a convex octagon is indeterminate.
What is the sum of the exterior angles of a non convex polygons?
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.
What is the measure of each interior angle in a regular convex nonagon?
140 degrees.
What is the measure of one angle of a regular convex 80 gon?
Exterior angle = 360/80 = 4.5 degrees. Interior angle = 180 - 4.5 = 175.5 degrees. And, a regular polygon has to be convex.
What is the measure of one angle of a regular convex 25 gon?
Exterior angle of a regular 25-gon = 360/25 = 14.4 degrees. So interior angle = 180-14.4 = 165.6 degrees.
What is the measure of the exterior angles of a convex octagon?
The measure of the exterior angle of a convex octagon is indeterminate.
What is the sum of the exterior angles of a non convex polygons?
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.
What is the measure of one angle of a regular convex 31-gon?
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.
What convex figure has exterior angle measure of 72 degrees?
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.
Interior angle of a convex quadrilateral?
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?
What is the difference between a concave polygon and a convex polygon?
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.
Find the number of sides of a regular convex polygon whose angle is 40degrees?
140
What is the measure of the interior angles of a convex heptagon?
An interior angle of a convex heptagon can have any value in the range (0, 180) degrees.
What is the angle measure for a regular rectangle?
the measure for a regular rectangle is 69in. by fudge you and measure it yourself.
