Is this polygon concave or
To answer this question, we’re
going to need to remind ourselves of what it means to say a polygon is concave and
what it means to say a polygon is convex.
A concave polygon is a polygon with
one or more interior angles measuring more than 180 degrees. A convex polygon, on the other
hand, is a polygon with all interior angles measuring less than 180 degrees.
So to be able to use these
definitions of concave and convex polygons, let’s also remind ourselves of what an
interior angle is. An interior angle is an angle
inside a polygon at one of its vertices. So all of these angles inside this
polygon are interior angles. We can see that these angles range
from 90 degrees up to 140 degrees.
Therefore, all of the interior
angles of this polygon measure less than 180 degrees. And so, this polygon is convex.