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Regular polygon: all sides are equal, all angles are equal
Hence, since AB is a common side for both polygons, it means sides of BOTH polygons are of same length.
Hence, IB = BC (BIC is an sosceles triangle)
You have figured out angle IBC = 27 deg.
Angle BIC = angle BCI = (180 - 27)/2 = 76.5 deg.
Hence, since AB is a common side for both polygons, it means sides of BOTH polygons are of same length.
Hence, IB = BC (BIC is an sosceles triangle)
You have figured out angle IBC = 27 deg.
Angle BIC = angle BCI = (180 - 27)/2 = 76.5 deg.
Isosceles * sorry for the typo
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