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avatar+826 

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.

 Aug 10, 2024
 #2
avatar+37146 
+1

The sum of the angles of the quadrilateral = 360 degrees ....

so 

 q   +    4q+17     +   8q+21     +    15q+148 = 360 

28q + 186 = 360 

q = 6.214               Then the largest angle is  15 (6.214) + 148 = 241.2 degrees 

 Aug 11, 2024

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