anonymous
  • anonymous
Given the figure below, find the values of x and z.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
|dw:1449879887223:dw|
anonymous
  • anonymous
Jimthompson!!! where are you?
anonymous
  • anonymous
jim_thompson5910 Please help!

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More answers

pooja195
  • pooja195
Hey Welcome To Openstudy :) So the given angles are vertical angles :) Can you tell me what you know about vertical angles?
anonymous
  • anonymous
Well they are pairs of opposite angles made by intersecting lines
anonymous
  • anonymous
Thank you for the welcome!
pooja195
  • pooja195
np ^_^ Ok Did you know that vertical angles are equal to each other ?
anonymous
  • anonymous
No i did not
pooja195
  • pooja195
|dw:1449881084330:dw|
pooja195
  • pooja195
https://www.mathsisfun.com/geometry/vertical-angles.html
pooja195
  • pooja195
Ok so to find the value of x what would the equation be?
anonymous
  • anonymous
9x+32 = 104
anonymous
  • anonymous
?
pooja195
  • pooja195
Good now solve for x B)
anonymous
  • anonymous
I belive x=8
anonymous
  • anonymous
Is that right?
pooja195
  • pooja195
Ok that looks find so x=8 Any clues on how to find z?
anonymous
  • anonymous
is it 9x +32 + z= 180?
anonymous
  • anonymous
I pretty familiar with the equations, just not sure how to find z from here
pooja195
  • pooja195
m actually unsure of how to find z :/ I would think since we know the value of x wouldnt u plug that in?
anonymous
  • anonymous
I have no idea :(
anonymous
  • anonymous
is there anyone else that you know, that could help me?
wolf1728
  • wolf1728
Sure I can help
anonymous
  • anonymous
Ok so I am not sure how to find z
anonymous
  • anonymous
thank you so much!
wolf1728
  • wolf1728
9x + 32 = 104 So basically, those 2 angles add up to 208. 360 = 208 + z + other angle
anonymous
  • anonymous
Ok so how do I find Z?
wolf1728
  • wolf1728
Changing that equation we get 152 = Z + other angle and we KNOW z = other angle
anonymous
  • anonymous
I'm following you. 360-208 = 152
wolf1728
  • wolf1728
104 + 9z+32 total 208 All 4 angles = 360 degrees So the remaining 2 angles are z and its vertical angle
wolf1728
  • wolf1728
so z + vertical angle = 152
anonymous
  • anonymous
so z = 152
anonymous
  • anonymous
or half of 152 is z
wolf1728
  • wolf1728
That's right it is half of 152
anonymous
  • anonymous
z=76
anonymous
  • anonymous
My value of x is right too? 8?
wolf1728
  • wolf1728
Yes it's 8

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