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

Guest Jun 19, 2020

#1**+1 **

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=\(165^\circ\).

gwenspooner85 Jun 19, 2020