Question

How many degrees are in each interior angle of a regular pentagon?

50
72
108
120

Answer 1

180(n-2)/n

Answer 2

n is the number of sides

Answer 3

so in this case it is 5

Answer 4

180(5-2)/n
180(3)

Answer 5

so 180(3)/5

Answer 6

540/5

Answer 7

so C

Answer 8

Which is 108

Answer 9

So C.

Answer 10

thnx:)

Answer 11

It's not so mysterious when you see it for what it is. Once you know these two simple facts, you can solve almost any highschool geometry problem.

All triangles have 180 degrees.
A circle has 360 degrees.



So then you can add up all the triangles, each will have 180 degrees, then subtract out the 360 from the circle, and divide by the number of corners. Done!

Answer 12

So in the "magic formula" he gave you "180(n-2)/n" all they were doing is counting up the triangles, subtracting off 2 triangles worth of angles which is the same amount as a circle, then dividing the corners off.

Understanding how to make the formula saves you so you don't have to waste your time memorizing garbage like that and means you don't have to worry about forgetting it and you can solve more problems easier.

Answer 13

thnx:)