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

 Mar 18, 2020
edited by Guest  Mar 18, 2020
edited by Guest  Mar 18, 2020
edited by Guest  Mar 18, 2020
edited by Guest  Mar 18, 2020

Best Answer 

 #1
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Let's label the angles a,b,c,d,e with a being the smallest and e being the largest. a+x = b. a+2x=c. a+3x=d.a+4x=e. A is 4x, or 44 degrees smaller than E. This means x is 11. And, if you add up all the angles, you get 540 because a pentagon is 540 total degrees. 5a+110= 540. 5a= 430. a=86. The smallest angle is 86.

 Mar 18, 2020
 #1
avatar+24 
+1
Best Answer

Let's label the angles a,b,c,d,e with a being the smallest and e being the largest. a+x = b. a+2x=c. a+3x=d.a+4x=e. A is 4x, or 44 degrees smaller than E. This means x is 11. And, if you add up all the angles, you get 540 because a pentagon is 540 total degrees. 5a+110= 540. 5a= 430. a=86. The smallest angle is 86.

inomath Mar 18, 2020

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