anonymous
  • anonymous
The measures of the angles in a quadrilateral are represented by x, 2x, 3x, and 3x. Write an equation that would allow you to solve for the value of x. Solve for the value of x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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welshfella
  • welshfella
the 4 angles in a quadrilateral add up to 360 degrees so we have x +_ 2x + 3x + 3x = 360
mathstudent55
  • mathstudent55
We need the same formula again. Use the formual with n = 4. What do you get for S?
mathstudent55
  • mathstudent55
\(S = (n - 2)180\) In this problem, n = 4 since a quadrilateral has 4 sides.

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More answers

anonymous
  • anonymous
I got 360
mathstudent55
  • mathstudent55
Good. The sum of the measures of the angles is 360.
mathstudent55
  • mathstudent55
We are told the 4 angles measure: x, 2x, 3x, and 3x. If we add up those measures, we get: \(x + 2x + 3x + 3x\) We know the angle measures must add up to 360 from the formula, so that means \(x + 2x + 3x + 3x = 360\) Now we can solve this equation for x.
mathstudent55
  • mathstudent55
We add all the terms on the left side: \(9x = 360\) Now we divide both sides by 9: \(x = 40\)

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