Question

Find the measure of each interior angle of a (i) regular decagon (ii) regular 18 sided polygon​

Answer 1

Answer:

i.)Measure of each interior angle of decagon=(180°- 36°)/2=72°,72°,36°.

ii.)Measure of each interior angle of 18 sided polygon=

(180-20)/2=80°,80°,20°.

Step-by-step explanation:

In a decagon, the angle at center is divided Into 10 equal parts and corresponding 10 equal triangles with 10 sides of decagon.

As sum of angles in any triangle is 180°, and the other angles of each triangle are equal, the Measure of each interior angle will be 72°, 72°, 36°.

And similarly in 18 sided polygon, they are, 80°,80° and 29°.