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A quadrilateral has angles of q, 5q + 15 , 3q - 55, and 4q - 20. Find the largest angle of the quadrilateral, in degrees

 May 15, 2022
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One thing that you should know is that any quadrilateral's angles sum to 360. Thus, we can make the equation

 

(q) + (5q + 15) + (3q - 55) + (4q - 20) = 360

 

This is just simple algebra that you should be able to do. You can simplify this, and then once you find out what q is, figure out what the largest angle is. 

 

⚡⚡⚡

ShockFish

 

BTW this question was also answered here: https://web2.0calc.com/questions/geometry_51921

 May 15, 2022

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