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.
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.
q + (4q + 17) + (8q + 21) + (15q + 148) = 360
28q + 186 = 360
28q = 174
q = 6.214
q = 6.214
4q + 17 = 41.856
8q + 21 = 70.712
15q + 148 = 241.210
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