A quadrilateral has angles of $q$, $4q + 17^\circ $, $8q + 21^\circ$, and $15q + 148^\circ $. Find the largest angle of the quadrilateral, in degrees.
The sum of the angles of the quadrilateral = 360 degrees ....
so
q + 4q+17 + 8q+21 + 15q+148 = 360
28q + 186 = 360
q = 6.214 Then the largest angle is 15 (6.214) + 148 = 241.2 degrees
+1341 
