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 + 17o) + (8q + 21o) + (15q + 148o) = 360o
28q + 186o = 360o
28q = 174o
q = 174o / 28 = 6.2o rounded to 6.2 here, but I didn't round it in my calculator
by observation it's obvious that the largest angle is (15q + 148o)
(15 • 6.2o) + 148o = 241.2o
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