Question

What is the measure of one angle of a regular pentagon? Prove that the angles formed in a vertex by drawing the diagonal from that  vertex are equal.​

Answer 1

Answer:

108

Step-by-step explanation:

Measure of one angle of a regular polygon is =

the total sum of interior angle is

(n - 2)180

n = sides of the pentagon that is 5.

So,

(5-2)180

=3× 180

=540.

So ,

we have to divide the no of sides (5) from the total sum of angles that is 540.

Therefore =540÷5

= 108 is the measure of one angle.

I don't know how to prove that the diagonals are equal .