Question

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

Answer 1

pentagons and hexagons have how many total degrees in them?

Answer 2

it dosnt say :(

Answer 3

I know, you can calculate them out

Answer 4

remember (N-2)*180?

Answer 5

oohhh

Answer 6

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

Answer 7

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

Answer 8

ois it 11-2*180?

Answer 9

sorry, I meant to calculate them separately

Answer 10

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

Answer 11

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...

Answer 12

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

Answer 13

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

Answer 14

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

Answer 15

320?

Answer 16

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

Answer 17

500?

Answer 18

show me your work, that is incorrect..

Answer 19

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

Answer 20

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

Answer 21

ohh my badd

Answer 22

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

Answer 23

yep

Answer 24

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

Answer 25

120

Answer 26

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

Answer 27

lol, 108

Answer 28

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

Answer 29

yep

Answer 30

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

Answer 31

i dont understand?

Answer 32

you agree that there are 360 degrees in a circle?

Answer 33

yea

Answer 34

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

Answer 35

ls the answer 132

Answer 36

close but not quite

Answer 37

redo your arithmetic

Answer 38

but 228+132 makes 360?

Answer 39

where'd you get 228?

Answer 40

105+120 = ?

Answer 41

i added the 2 angles

Answer 42

which should not yield 228

Answer 43

is the answer 135?

Answer 44

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...

Answer 45

thx for the help man!!!

Answer 46

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