A convex polygon has only the vertices JAMES. what is the sum of the measures of the interior angles of the polygon?
To find the sum of the measures of the interior angles of a convex polygon, use the formula:
Sum of interior angles = (n - 2) * 180 degrees
Here, 'n' represents the number of sides (or vertices) of the polygon.
In this case, the polygon has only the vertices JAMES. By counting the number of vertices, we see that it has 5 sides.
Now, substitute 'n' into the formula:
Sum of interior angles = (5 - 2) * 180 degrees
= 3 * 180 degrees
= 540 degrees
Therefore, the sum of the measures of the interior angles of the polygon with vertices JAMES is 540 degrees.