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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?

Respuesta :

Answer:

Largest angle is 174 degree. x = 35.03  (if we multiply this by 5 = 175.15-1.08134979136 we get 174.068650209 angle (174 degree). This will be the largest angle as nothing over 175.15 works when we multiply 35.03 x 1.08134979136 and by 2 and by 3 and by 4 and add to 174.068650209. This equates to 540 degree which is what this sum was all about.

Therefore x  = 35.03 $=1.08134979136 and largest angle possible is 174 degree (which is not the maximum angle in a pentagon but it is close to it considering we are multiplying by a same number each time and inkeeping with x x $ or x-$ or x+$= angle.

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