Question

A convex polygon has only the vertices aa, bb, cc, dd, and ee. what is the sum of the measures of the interior angles of this polygon?

Answer 1

It's a pentagon.

The formula of the sum of the measures of the interior angles is:
$\Sigma=180^o(n-2)$
n - the number of an interior angles of a polygon.
therefore your answer is:
$\Sigma=180^o\cdot(5-2)=180^o\cdot3=540^o$