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A convex pentagon has interior angles with measures $x+1$, $2x$, $3x$, $4x$, and $5x-1$ degrees. What is the measure of the largest angle?

 Dec 24, 2020
 #1
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The sum of the interior angles   =  540°

 

So

 

(x + 1)  + 2x  + 3x + 4x + (5x -1)  =540      simplify

 

x + 2x + 3x + 4x + 5x   =540

 

15x  =  540   divide both sides by 15 

 

x =36°

 

Largest angle  =  5 (36)  -1  =   179°

 

 

cool cool cool

 Dec 24, 2020

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