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Solve for x help me thanks

Solve for x help me thanks-example-1

1 Answer

5 votes

Answer:

x = 18

Explanation:

the sum of the interior angles in a polygon is

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

here n = 5 , then

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the angles, equate to 540 and solve for x

9x - 6 + 3x + 23 + 95 + 7x - 4 + 90 = 540 ( collect like terms on left side )

19x + 198 = 540 ( subtract 198 from both sides )

19x = 342 ( divide both sides by 19 )

x = 18

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