In pentagon ABCDE, shown below, ∠A measures 50°. What is the total measure of the other 4 interior angles?
Correct
Incorrect
The correct answer is (E).
Getting to the Answer: The sum of the interior angles of a polygon is 180°(n-2), where n is the number of sides of the polygon. The figure ABCDE has five sides, so the total measure of the interior angles is 180°(5-2)=180°(3)=540°. The sum of the remaining interior angles is therefore 540°-50°=490°.
(A) Incorrect: this would be the measure of the other interior angles of a triangle, 180°-50°=130°
