What is the measure of x, the angle between a side of the pentagon and a side of the hexagon?

- anonymous

What is the measure of x, the angle between a side of the pentagon and a side of the hexagon?

- chestercat

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- anonymous

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- anonymous

pentagons and hexagons have how many total degrees in them?

- anonymous

it dosnt say :(

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- anonymous

I know, you can calculate them out

- anonymous

remember (N-2)*180?

- anonymous

oohhh

- anonymous

but i get confused though, thats y i need help :(

- anonymous

so how many total degrees are in each? N being number of sides

- anonymous

ois it 11-2*180?

- anonymous

sorry, I meant to calculate them separately

- anonymous

ooh, 5-2*180 + 6-2*180?

- anonymous

yes, but you don't want them totalled together; once you have the total degrees in each polygon, you need to find out how large each SEPARATE angle is in each polygon. This simply requires the total divided by the number of sides. from there, take another look at your picture...

- anonymous

...remembering that 360 degrees make up a full circle...

- anonymous

im confused man im sorry, i know ur tryin to help :(

- anonymous

k, how many total degrees are in a hexagon (N=6)?

- anonymous

320?

- anonymous

no: (6-2)*180=720; how many total degrees in a pentagon?

- anonymous

500?

- anonymous

show me your work, that is incorrect..

- anonymous

i did 5-2 wich is 3 and i multiplied 3 with 180

- anonymous

thats correct, but your arithmetic is wrong then; 3*180=540

- anonymous

ohh my badd

- anonymous

k, so back to the hexagon: we have 720 degrees total in it, and 6 angles inside it, correct?

- anonymous

yep

- anonymous

so how large is each angle in the hexagon if they are all the same size?

- anonymous

120

- anonymous

bam! so how large are the angles on the pentagon?

- anonymous

lol, 108

- anonymous

k, so now we have the two adjacent angles to the desired angle in the picture, right?

- anonymous

yep

- anonymous

so remember that there are 360 degrees in a circle, and apply that to your picture

- anonymous

i dont understand?

- anonymous

you agree that there are 360 degrees in a circle?

- anonymous

yea

- anonymous

look at the picture, and how if you add up the two adjacent angles, plus the unknown one, it makes a circle.

- anonymous

ls the answer 132

- anonymous

close but not quite

- anonymous

redo your arithmetic

- anonymous

but 228+132 makes 360?

- anonymous

where'd you get 228?

- anonymous

105+120 = ?

- anonymous

i added the 2 angles

- anonymous

which should not yield 228

- anonymous

is the answer 135?

- anonymous

BAM! thanks for sticking through the problem with me, I know it can be time-consuming, but you're giving me a little more faith in our younger generation and education system...

- anonymous

thx for the help man!!!

- anonymous

glad I could, hope it didn't take too much of your time

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