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The interior angle measures of a pentagon form an arithmetic progression. The difference between the largest and smallest angle measures is 44 degrees. Find the measure of the smallest angle, in degrees.

 Jun 20, 2018

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 #1
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the sum of the angles in a pentagon is 540. let the measure of the smallest angle be x.

x+x+d+x+2d+x+3d+x+4d=540. x+4d-x=44. 4d=44. d=11. 5x+10d=540. x+2d=108. x+22-108. x=86

 

86 DEGREES

 Jun 20, 2018
 #1
avatar+49 
+2
Best Answer

the sum of the angles in a pentagon is 540. let the measure of the smallest angle be x.

x+x+d+x+2d+x+3d+x+4d=540. x+4d-x=44. 4d=44. d=11. 5x+10d=540. x+2d=108. x+22-108. x=86

 

86 DEGREES

kevbamboo Jun 20, 2018

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