Question

In the accompanying diagram of parallelogram ABCD m 13 years ago

Answer 1

The adjacent angles of any parallelogram are supplementary

Answer 2

So

m < A + m < B = 180

2x + 15 + x = 180

Answer 3

Trudat.

Answer 4

Would you like me to draw the diagram thats on my paper?

Answer 5

For art practice, yes.

Answer 6

these angles here are adjacent angles

Answer 7

So if they were angles A and B, then they would add to 180 degrees

Answer 8

hold on, ill show you whats on my paper

Answer 9

alright, but I think the idea still applies (no matter how your drawing is)

Answer 10

nvm. So is this what I write on my paper?
m < A + m < B = 180

2x + 15 + x = 180

Answer 11

yes and keep going to solve for x

Answer 12

once you find x, use it to find m < A

Answer 13

so you subtract 15 from 180?

Answer 14

yes

Answer 15

giving you what?

Answer 16

2x+x=165

Answer 17

?

Answer 18

Yes.

Answer 19

Then do you subtract x?

Answer 20

2x+x would turn into 3x

Answer 21

like 2x-x?

Answer 22

after you combine like terms

Answer 23

so we know that

3x = 165

Answer 24

You now have 2x+x=165

=> 3x = 165
x = 165/3

Answer 25

so you divide by 3 n\and get 55?

Answer 26

yep x = 55

Answer 27

thanks!!!!(:

Answer 28

now plug this into

m < A = 2x+15

Answer 29

to find m < A, which is the measure of angle A

Answer 30

so you get 125?

Answer 31

good

Answer 32

thanks, so thats the final answer?

Answer 33

yes that's correct