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Don’t know how to do this pls Show work

Don’t know how to do this pls Show work-example-1
User Betaman
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1 Answer

1 vote

Answer:

pentagon and x = 85

Explanation:

The polygon has 5 sides and is a Pentagon.

The sum of the interior angles of a polygon is

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

Here n = 5, thus

sum = 180° × 3 = 540°

Sum the 5 interior angles and equate to 540, that is

x + x + 35 + x + 25 + 120 + 105 = 540, simplifying

3x + 285 = 540 ( subtract 285 from both sides )

3x = 255 ( divide both sides by 3 )

x = 85

User Inevio
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