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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

 Jun 19, 2020
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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=\(165^\circ\).

 Jun 19, 2020

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