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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 interior angles in a convex octagon?
360
Is an Octagon a convex polygon with congruent sides and congruent angles?
yes
What is a convex octagon?
A convex polygon, including an octagon, is a 2d shape such that any straight line joining any two points on its boundary lies wholly within the shape. This is assured if each of its interior angles is less than 180 degrees.
Is a octagon convex?
A convex polygon, including an octagon, is a 2d shape such that any straight line joining any two points on its boundary lies wholly within the shape. This is assured if each of its interior angles is less than 180 degrees.
Does a octagon have to have two pairs of parallel sides?
It depends on the actual shape of that octagon. It CAN have two pairs of parallel sides. A regular octagon has 4 pairs of parallel sides.
What is the sum of the measures of the exterior angles one at each vertex of a convex octagon?
They add up to 360 degrees
What is the sum of the exterior angle measures for an irregular convex octagon?
Its 8 exterior angles add up to 360 degrees
Is a regular convex octagon impossible to make?
Not at all. One way to make it would be to cut the corners off a square.
Can a regular octagon be concave?
No, a regular octagon cannot be concave. By definition, a regular octagon has all sides and angles equal, and it is a convex polygon, meaning that all its interior angles are less than 180 degrees. A concave polygon, on the other hand, has at least one interior angle greater than 180 degrees, which is not possible in a regular octagon.
What is the sum of the angle measures of a convex octagon?
Exterior angles add up to 360 degrees Interior angles add up to 1080 degrees
How many Triangles are formed in an octagon?
In a convex octagon, you can form triangles by selecting any three vertices. Since an octagon has 8 vertices, the number of ways to choose 3 vertices from these 8 is calculated using the combination formula ( \binom{n}{r} ), where ( n ) is the total number of vertices and ( r ) is the number of vertices to choose. Thus, the number of triangles formed is ( \binom{8}{3} = \frac{8!}{3!(8-3)!} = 56 ). Therefore, 56 triangles can be formed in an octagon.
