Question

Find the measure of each interior angle of a regular polygon of (1) 10 sides (11) 6
Section.​

Answer 1

Answer:

(i)

decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144° and they all add up to 1,440° .

(ii)

All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 720 degrees (from above)... And there are six angles... So, the measure of the interior angle of a regular hexagon is 120 degrees.