Question

By finding the size of each exterior angle of a regular decagon, find the size of each interior angle of the decagon.

Answer 1

Step-by-step explanation:

A decagon is a ten sided polygon. Hence there will be ten angles. Assuming the decagon is a regular polygon in which all sides are equal, each exterior angle will be 36 degrees. (Sum if all the exterior angles equals 360 degrees, ten in this case). Thus each interior angle which is supplementary to the exterior angle will be 144 degrees. Each side subtends an angle of 36 degrees at the centre which can be obtained by drawing diagonals of opposite angles.