Question

Given the figure below, find the values of x and z.

Answer 1

Jimthompson!!! where are you?

Answer 2

jim_thompson5910 Please help!

Answer 3

Hey
Welcome To Openstudy :)
So the given angles are vertical angles :)
Can you tell me what you know about vertical angles?

Answer 4

Well they are pairs of opposite angles made by intersecting lines

Answer 5

Thank you for the welcome!

Answer 6

np ^_^
Ok
Did you know that vertical angles are equal to each other ?

Answer 7

No i did not

Answer 8

https://www.mathsisfun.com/geometry/vertical-angles.html

Answer 9

Ok so to find the value of x what would the equation be?

Answer 10

9x+32 = 104

Answer 11

?

Answer 12

Good now solve for x B)

Answer 13

I belive x=8

Answer 14

Is that right?

Answer 15

Ok that looks find so
x=8
Any clues on how to find z?

Answer 16

is it 9x +32 + z= 180?

Answer 17

I pretty familiar with the equations, just not sure how to find z from here

Answer 18

m actually unsure of how to find z :/
I would think since we know the value of x wouldnt u plug that in?

Answer 19

I have no idea :(

Answer 20

is there anyone else that you know, that could help me?

Answer 21

Sure I can help

Answer 22

Ok so I am not sure how to find z

Answer 23

thank you so much!

Answer 24

9x + 32 = 104
So basically, those 2 angles add up to 208.

360 = 208 + z + other angle

Answer 25

Ok so how do I find Z?

Answer 26

Changing that equation we get
152 = Z + other angle
and we KNOW z = other angle

Answer 27

I'm following you. 360-208 = 152

Answer 28

104 + 9z+32 total 208
All 4 angles = 360 degrees
So the remaining 2 angles are z and its vertical angle

Answer 29

so z + vertical angle = 152

Answer 30

so z = 152

Answer 31

or half of 152 is z

Answer 32

That's right it is half of 152

Answer 33

z=76

Answer 34

My value of x is right too? 8?

Answer 35

Yes it's 8