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.
Find the smallest angle, in degrees.
Hello blackpanther!
α+α+d+α+2d=180∘(α+2d)−α=56∘d=28∘3α+3⋅28∘=180∘α+28∘=60∘α=32∘β=60∘γ=88∘
α,the smallest angle is 32∘.
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