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Has to equal to 360* PLEASE HELP ASAP DUE TOMORROW

Has to equal to 360* PLEASE HELP ASAP DUE TOMORROW-example-1
User Tom Carr
by
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1 Answer

5 votes

Answer: x = 43

Concept:

The sum of the interior angle of polygon = (n - 2) × 180

The sum of the interior angle of quadrilateral = (4 - 2) × 180 = 2 × 180 = 360°

Solve:

Given information

First angle = 3x

Second angle = 2x

Third angle = x + 12

Fourth angle = 2x + 4

Total angle = 360

Given expression

First angle + Second angle + Third angle + Fourth angle = Total angle

Substitute values into the expression

(3x) + (2x) + (x + 12) + (2x + 4) = 360

Combine like terms

(3x + 2x + x + 2x) + (12 + 4) = 360

8x + 16 = 360

Subtract 16 on both sides

8x + 16 - 16 = 360 - 16

8x = 344

Divide 8 on both sides

8x / 8 = 344 / 8


\boxed{x=43}

Hope this helps!! :)

Please let me know if you have any questions

User Geoff Langenderfer
by
7.9k points

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