The degree sum of the interior angles of any polygon can be expressed as (n – 2)(180°), where n = the number of sides. If four of the five interior angles of a pentagon measure 110°, 60°, 120°, and 100°, what is the measure of the fifth interior angle?

Explanation

Since the figure has 5 sides, it contains 540°: 180(5 – 2) = 540. The sum of the measures of the five angles is 540°. To find the fifth angle ( x), set up and solve an equation:
540=x + 110 + 60 + 120 + 100
540=x + 390
150 =x

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