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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.

Maplesnowy  Jun 20, 2018

Best Answer 

 #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

kevbamboo  Jun 20, 2018
 #1
avatar+48 
+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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