Question

speech interior angle of a regular polygon is 150 degrees then the number of diagonals are​

Answer 1

Answer:

54 diagonals

Step-by-step explanation:

Lets solve for the no. of sides.

(180)(s-2)/s=a

where s=no. of sides

a=interior angle

180(s-2)/s=150

6s-12=5s

s=12

Now,

d=s(s-3)/2

=12(9)/2

=54.