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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.

 May 14, 2024
 #1
avatar+129501 
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q + (4q + 17) + (8q + 21) + (14q + 148) =  360

 

27q + 186  =  360

 

27q = 174

 

q = 174 / 27 =  58 / 9

 

Largest angle = 14 (58 / 9) + 148 ≈  238.22°

 

 

cool cool cool

 May 14, 2024

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