Question

The sum of the interior angles of a polygon is

equal to three times the sum of its exterior angles.

How many sides does the polygon have?

Answer 1

Do you remember the formula of the sum of the interior angles of a polygon?

Answer 2

yap

Answer 3

What is it?

Answer 4

180(s – 2)

Answer 5

Now what is the equation for the sum of the exeterior angles?

Answer 6

360

Answer 7

interior angles of a polygon is

equal to three times the sum of its exterior angles

Answer 8

\[
180^\circ(s-2)=3\times 360^\circ
\]

Answer 9

Shouldn't you just solve for \(s\)?

Answer 10

yap

Answer 11

What do you get?

Answer 12

is it 4

Answer 13

I don't think so.

Answer 14

If you divide both sides by \(180^\circ\) you get: \[
s-2=3\times 2
\]

Answer 15

is it 8

Answer 16

I think \(8\) is right.

Answer 17

oh ok

Answer 18

Great job.

Answer 19

You're smart enough to do it.