Question

The figure shown is an irregular polygon. One of its interior angles measures one hundred ten degrees. What is the exterior angle of that vertex?

An eight-sided polygon with different side lengths, one of the angles measures one hundred ten degrees.

forty-five degrees

seventy degrees

one hundred thirty-five degrees

two hundred fifty degrees

Answer 1

It isn't d...

Answer 2

@HelpBlahBlahBlah @Rohitkhanna @Heartrecker

Answer 3

@mtbender74

Answer 4

@Loser66

Answer 5

the sum of an interior angle and it's corresponding exterior angle are always 180 degrees...so if the interior angle is 110, it's corresponding exterior angle is...?

Answer 6

70

Answer 7

perfect :)

Answer 8

While you are here, do you mind helping with another one?

Answer 9

The sum of the interior angles of a regular polygon is one thousand eight hundred degrees. What is the measure of each exterior angle of the polygon?

One hundred fifty degrees

One hundred eight degrees

Sixty degrees

Thirty degrees

Answer 10

@mtbender74

Answer 11

ok...so we need to figure out how many sides the figure has...then find the measure of one interior angle.

Answer 12

the sum of the interior angles of a regular n-sided polygon is\[180(n-2)\]

Answer 13

so if \[1800=180(n-2)\]what does n=?

Answer 14

So 1800=180(n-2). Umm...

Answer 15

n=12?

Answer 16

divide both sides by 180..then add 2 to both sides

Answer 17

1800= 180(12-2)
12-2=10
180*10= 1800

Answer 18

Wait, what?

Answer 19

correct :)

so if the sum of the 12 interior angles is 1800, then each interior angle would be 1800/12...

Answer 20

so 150?

Answer 21

lol...we've determined that we have a 12-sided figure, yes? so there are 12 interior angles...and the sum of those 12 interior angles is 1800

Answer 22

exactly!

Answer 23

Okay

Answer 24

so if the interior angles are 150 degrees, what would be the corresponding exterior angle measure?

Answer 25

30 degrees

Answer 26

perfecto! :)

Answer 27

if you want to be able to do these a little faster, if you know how many sides the polygon has, you can use the fact that the measuer of an exterior angle is always 360/n degrees

so in this case, once we knew that it was a 12-sided figure, we could say exterior angle = 360/12 = 30 degrees...