The sum of the measures of the interior angles of this polygon is 540 degree.
What is a regular polygon?
A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
We know the formula for the sum of interior angle in a polygon is given by:
Sum = 180(n-1)
The convex polygon has only the vertices A, B, C, D, and E.
n = 5
Sum = 180(5-2) = 180(4)
Sum = 540 degree
Thus, the sum of the measures of the interior angles of this polygon is 540 degree.
Learn more about the regular polygon here:
brainly.com/question/11810316
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