A quadrilateral has angles of q, 5q + 15 , 3q - 55, and 4q - 20. Find the largest angle of the quadrilateral, in degrees
The interior angle sum to 360 degrees
So.....
q + 5q + 15 + 3q - 55 + 4q - 20 = 360 simplify
13q -60 = 360
13q = 360 + 60
13q = 420
q = 420 / 13
The largest angle = 5q + 15 = 2295/13 ≈ 176.54°
