Question

need help in algebra angle 1 (6x-32) angle 2 (2x-20) angle 3 (3y-8) angle 4 (2x-20)

Answer 1

geometry not algebra

Answer 2

vertical angles are what?

Answer 3

congruent

Answer 4

no they are equal to each other...

But first, what is the question?

Answer 5

Sorry, should of said "think of them as equal to each other" Congruent is correct..but better to think of them as equal

Answer 6

i attatched a photo and where they go is in the problem

Answer 7

correct, but what are they asking you to do? I see the picture, but is the question there also?

Answer 8

Find the values of x and y in the diagram below

Answer 9

ok... so lets pick any two vertical angle

Answer 10

1 and 3 are vertical as well as 2 and 4, right?

Answer 11

i guess

Answer 12

are you sure that angle 2 and 4 data given in your question right? they are the same thing

Answer 13

yes

Answer 14

angle 1 (6x-32) angle 3 (3y-8)
angle 2 (2x-20) angle 4 (2x-20)

lets use the straight angles to find the value of X first. So you understand that straight angles total 180

Answer 15

yes ma'am.

Answer 16

6x - 32 + 2x -20 = 180
8x - 52 = 180
8x = 180 - 52
8x = 128
x = 16

Answer 17

So, I just chose angle 1 and 2 and set their SUM to 180 - solved for x

Answer 18

now lets find Y

Answer 19

the only angle with a Y variable is 3; so we know that 1 and 3 are vertical. We know this because they are ACROSS from each other.

Answer 20

okay im following

Answer 21

remember we know the value of X now so angle 1 = 6x-32
<1 = 6(16) - 32
<1 = 64

Answer 22

Good to know :)

Answer 23

so now, we set <1 = <3
64 = 3y - 8
solve for Y

64 + 8 = 3Y
72 = 3Y
y = 24

Answer 24

what is <1 ?

Answer 25

There you go..values for X and Y
You are NOW sure of Vertical angles, right?

Next time..just look to see which angles have same variable and see if you can apply straight line theory or vertical angle theory to solve for the variable

<1 = angle 1

Answer 26

once you solve for that variable...look to see which angle have the other variable you need.

Plug in Number value for the first one found and then just solve for the 2nd one.

You good?

Answer 27

one sec let me go over it

Answer 28

ok..np - take your time, brb

Answer 29

in <1= 6(16) - 32..... where did you get the 6

Answer 30

nvm i see thank you so much Ms.M you really helped me out here

Answer 31

angle 1 (6x-32)
from what you provided in the question

Answer 32

Well good to know. Anytime...:) Happy studies.