SOLUTION: is it possible for a convex polygon to have a sum of 180 degrees

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Question 699712: is it possible for a convex polygon to have a sum of 180 degrees
Found 3 solutions by solver91311, stanbon, MathLover1:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


If you mean the sum of the measures of the interior angles, then yes. The sum of the measures of the interior angles of any triangle is 180 degrees, and all triangles are convex polygons.

On the other hand, if you mean the sum of the exterior angles, then no. The sum of the measures of the exterior angles of any convex polygon is 360 degrees, regardless of the number of sides.

John

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Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
is it possible for a convex polygon to have a sum of 180 degrees.
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Yes, if the convex polygon is a triangle.
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Cheers,
Stan H.
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Answer by MathLover1(20855)   (Show Source): You can put this solution on YOUR website!
Convex polygon:
definition: A polygon that has all angles than °
Note that a triangle (3-gon) is always convex, and a triangle is a polygon. A polygon is any closed figure made up of or more line segments.
if you mean a convex polygon to have a sum of angles °, than yes, it is a triangle.
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