A quadrilateral has angles of $q$, $5q + 15^\circ $, $3q - 25^\circ$, and $4q - 20^\circ $. Find the largest angle of the quadrilateral, in degrees
+781 We are given the expressions of each angle and we know the angles in a quadrilateral add up to 360.
So we form an equation:
q+5q+15+3q-25+4q-20=360
13q-30=360
13q=390
q=30
The largest angle is 5q+15, which is 5(30)+15=\(165^\circ\).
