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The measures of the interior angles of a convex decagon are 21x°, 154°, 118°, 106°, 15x°, 165°, 172°, 162°, 151°, and 160°. What is the measure of the smallest interior angle?

 Oct 5, 2021
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The interior angle sum to   ( n-2) * 180 = 1440

 

36x + 1188 = 1440

x = 7                                      so the two angles with 'x' in them are 147    105o        so the smallest angle is 105o

 Oct 5, 2021
edited by ElectricPavlov  Oct 5, 2021

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