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The interior angles of a polygon form an arithmetic sequence. The difference between the largest angle and smallest angle is $56^\circ$. If the polygon has $3$ sides, then find the smallest angle, in degrees.

 Mar 1, 2024
 #1
avatar+15077 
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Find the smallest angle, in degrees.

Hello blackpanther!

 

α+α+d+α+2d=180(α+2d)α=56d=283α+328=180α+28=60α=32β=60γ=88

α,the smallest angle is 32. 

 

laugh !

 Mar 2, 2024
edited by asinus  Mar 2, 2024

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