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A pentagon the Measures of four of its angle are shown bellow: what is the value of x?

User Tiesselune
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1 Answer

4 votes

Answer:

See below.

Explanation:

The sum of the measures of the interior angles of an n-sided polygon is

(n - 2)180

A pentagon has 5 sides, so for a pentagon, n = 5.

(n - 2)180 = (5 - 2)180 = 3(180) = 540

The sum of the measures of the angles of a pentagon is 540.

You don't show the measures of the 4 angles that are known, so to answer the question, add the 4 given measures and subtract the sum from 540.

User AntonTkachov
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