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Can someone please help! What does X equal?

Can someone please help! What does X equal?-example-1

1 Answer

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Answer:

x = 108

Explanation:

The sum of the interior angles in a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here the number of sides = 5, thus

sum = 180° × 3 = 540°

Sum the given angles and equate to 540.

Note that 2 of the angles have a measure of x

x + 85 + 95 + 144 + x = 540, that is

2x + 324 = 540 ( subtract 324 from both sides )

2x = 216 ( divide both sides by 2 )

x = 108

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