Question

find measures of both angles. m 13 years ago

Answer 1

do you have a drawing that goes with this

Answer 2

no

Answer 3

we need more information. is there anything else that is missing?

Answer 4

I wish there was. I thought the same thing. Not even an example in the book to at least follow.

Answer 5

Only thing is abd and bde are supplementary.

Answer 6

that's what we needed. look up what supplementary means.

Answer 7

ok. but i don't understand how to work the problem

Answer 8

ok, so supplementary means that the 2 angles equal 180 degrees

Answer 9

this means that
m<abd + m<bde=180

Answer 10

substitute and solve for x after that

Answer 11

you may also run into the word complementary which means the angles add up to 90
complementary starts with C which is the first letter of corner, which is what 90 looks like.
supplementary starts with an S which is the first letter of Straight, which is what 180 looks like

Answer 12

im not able to get the answer that is in the book

Answer 13

what do you get

Answer 14

180-(3x=12)
180-3x-12
168-3x

Answer 15

ahhhhh, you wrote this kinda funny, let's work through this slowly

Answer 16

3x+12+7x-32=180

Answer 17

then combine like terms

Answer 18

10x-20=180

Answer 19

Great, do you know the next step?

Answer 20

and does this set up make sense?

Answer 21

+20 to each side

Answer 22

good!

Answer 23

you are almost done

Answer 24

10x=100

Answer 25

answer in book is 72 and 108

Answer 26

x=10, then plug x back into the equations for the two angles

Answer 27

it still isn't coming out exactly right, let me double check stuff

Answer 28

i see where the problem is

Answer 29

x=20

Answer 30

\[10x-20=-180\]
\[10x-20+20=180+20\]
\[10x=200\]
\[x=20\]

Answer 31

oops first equation is wrong, the -180 should be positive.

Answer 32

ok, from here im lost. dont understand how to get the answer of 72 and 108

Answer 33

but x=20 back into the equations for the angles. m<abd=(3x+12)*, m<bde=(7x-32)

Answer 34

got it

Answer 35

awesome!

Answer 36

thank yoiu very much