Question

find the meaure of each interior angle of a 15-gon​

Answer 1

Answer:

Each triangle has an angle sum of 180 degrees, so the sum of the interior angles of the 15-gon must be 13 × 180 = 2340 degrees. Since the 15-gon is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a measure of 2340 ÷ 15 = 156 degrees.

Step-by-step explanation:

The sum of the interior angles of a polygon =(n−2)×180o.

Where n is the number of sides of the polygon.

Here, n=15

∴  The sum of the interior angles of a polygon =(15−2)×180o.

                                                                              =13×180o

                                                                              =2340o.

⇒  Measure of each interior angle =152340o=156o

MARK AS BARILY PLEASE FOLLOW