Question

If the sum of the interior angles of a regular polygon is 720(degree), what is the measure of one exterior angle?

Answer 1

Do you know the formula for the sum of the measures of the interior angles of a polygon?

Answer 2

um....

Answer 3

180(n-2)
------------
n

Answer 4

That is the formula for the measure of each interior angle of an interior polygon.
If you leave out the part about dividing by n, then that's it

\(180(n - 2) \)

Answer 5

The sum of the measures of the interior angles of a polygon is \(180 (n - 2)\)

In your case, you are told the sum of the measures is 720.

Solve this equation for n, to find the number of sides.

\(180 (n - 2) = 720\)

Answer 6

Do i just put the 720(degree) in the n column

Answer 7

ohh i see

Answer 8

To solve the equation,
first, divide both sides by 180

Answer 9

ok

Answer 10

Then add 2 to both sides.

Answer 11

What do you get for n?

Answer 12

1 min

Answer 13

ok

Answer 14

6?

Answer 15

Correct.

Answer 16

o.o i love this website thank you so much.

Answer 17

We have a 6-sided polygon, called a hexagon.

Answer 18

You're welcome.

Answer 19

I'll share this website with my family and friends <3

Answer 20

Now we need to deal with the part about the measure of an exterior angle.

Answer 21

ok

Answer 22

Do you know what an exterior angle of a polygon is?

Answer 23

well the sum of the exterior angle is 360

Answer 24

so 360 divide it by n?

Answer 25

Great. That is very helpful.
Correct.

Answer 26

yay!! :D

Answer 27

360/6 = 60

Answer 28

That's it.

Answer 29

wow!

Answer 30

thanx

Answer 31

You're welcome.

Answer 32

How am i suppose to do this question?

Suppose that you draw a regular hexagon and draw diagonals connecting each pair of opposite vertices. Name the figures formed in the interior of the hexagon.

Answer 33

How about drawing it, and then we'll discuss it?
You can use the draw tool below.

Answer 34

Sure.

Answer 35

its pretty bad......

Answer 36

This is my version.

Answer 37

o.o

Answer 38

You need to be careful with the instructions.

Answer 39

i thought that you cant touch the lines...