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anonymous
 one year ago
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
anonymous
 one year ago
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

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welshfella
 one year ago
Best ResponseYou've already chosen the best response.0the 4 angles in a quadrilateral add up to 360 degrees so we have x +_ 2x + 3x + 3x = 360

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1We need the same formula again. Use the formual with n = 4. What do you get for S?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(S = (n  2)180\) In this problem, n = 4 since a quadrilateral has 4 sides.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Good. The sum of the measures of the angles is 360.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1We 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
 one year ago
Best ResponseYou've already chosen the best response.1We add all the terms on the left side: \(9x = 360\) Now we divide both sides by 9: \(x = 40\)
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