Question

find the number of side in a regular polgon if its each interior angle is 144° solf​

Answer 1

Answer:

10.

Step-by-step explanation:

The measure of each interior angle of a polygon with n sides is:

(n - 2)180/n

By taking this, we can get,

                                            (n - 2)180/n = 144°

                                            180n - 360 = 144n

                                            180n - 144n = 360

                                            36n = 360

                                            n = 10

Thus, the regular polygon has 10 sides and is called a decagon.

Hope this helps you :)