0
Still curious? Ask our experts.
Chat with our AI personalities
Beau
Judy
RossAdd your answer:
Earn +20 pts
A convex polygon has 10 sides and one angle at each vertex what is the sum of the measure of its exterior angle?
The exterior angles of a polygon always total 360 degrees. That doesn't even depend on how many sides the polygon has.
The sum of the measures of the exterior angles of an n-gon one at each vertex is?
The exterior angles of any polygon add up to 360 degrees
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 measures of the exterior angles of a convex 13-gon?
The sum of the exterior angles of any polygon is 360 degrees. To demonstrate simply that this is so, imagine you are to run the distance of a polygon. Beginning at vertex A, you run some distance, then turn some amount. This continues until finally you have made a complete loop around the track, turning a full 360 degrees. The sum of those exterior angles is always 360 degrees for any polygon.
What is the sum of the measures of the exterior angles of a decagon?
It is generally accepted to count only one vertex per side when calculating the sum of exterior angles. If this is what you mean, then for every convex polygon (all angles point away from center), the sum is always 360º.However, you can also count two vertexes per side, so the sum would then be double, or 720º.
