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The angles of a quadrilateral are x, 5x + 15 degrees, 3x - 25 degrees, and 4x - 20 degrees. Find the measure of the largest angle of the quadrilateral.

 

Thanks!

 Mar 14, 2018
 #1
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The sum of all interior angles of any quadrilateral = 360 degrees

x + [5x +15] + [3x - 25] + [4x - 20] = 360

13x = 360 - 15 + 25 + 20

13x = 390

x = 30 - degrees.

5*30 + 15 = 165 - degrees - the largest angle.

 Mar 14, 2018
edited by Guest  Mar 14, 2018
 #2
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We know that the sum of the angles in any quadrilateral, is 360 degrees, so \(x+5x+15+3x-25+4x-20=360, x=30, 5x+15=150+15=\boxed{165}\)

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 Mar 14, 2018
 #3
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Thanks so much you guys!

 Mar 14, 2018

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