anonymous
  • anonymous
Find x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
https://i.gyazo.com/b3c8ed45506416f6d2e723e63d3c5e43.png
Maddy1251
  • Maddy1251
I think I might be able to help you. Is this trig or geometry?
anonymous
  • anonymous
geometry

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Maddy1251
  • Maddy1251
Yeah I can help. Do you know what 'x' is specifically called?
anonymous
  • anonymous
no
Maddy1251
  • Maddy1251
It is considered an arc.
Maddy1251
  • Maddy1251
In a circle, the length of an arc is a portion of the circumference. Remembering that the arc measure is the measure of the central angle, a definition can be formed
anonymous
  • anonymous
okay
Maddy1251
  • Maddy1251
So I am assuming that the '116' degrees, they are referring to the inner angle inside.
Maddy1251
  • Maddy1251
By a theorem I cannot remember the name of, the angle 'behind' that '116' should equal '116'
Maddy1251
  • Maddy1251
It should create a 'bowtie' angle, if I remember correctly.
Maddy1251
  • Maddy1251
I will try to draw what I mean
anonymous
  • anonymous
thank you
Maddy1251
  • Maddy1251
|dw:1446849759195:dw|
Maddy1251
  • Maddy1251
Not drawn to scale but that's the idea I am trying to get at :-)
Maddy1251
  • Maddy1251
Now. Since these two are equal to each other, notice how there is the outer angle of 78?
anonymous
  • anonymous
yes
Maddy1251
  • Maddy1251
|dw:1446849856919:dw|
Maddy1251
  • Maddy1251
Get what my picture means?
Maddy1251
  • Maddy1251
Not the 'arcs'
anonymous
  • anonymous
yeah
Maddy1251
  • Maddy1251
|dw:1446849954575:dw|
Maddy1251
  • Maddy1251
I cannot frewdraw lol my bad
Maddy1251
  • Maddy1251
However, from this, I will conclude that x= 78.
Maddy1251
  • Maddy1251
The only way this couldn't be true, is if they state that the inner angle on the opposite side of 116 isn't 116, then it's not true.
Maddy1251
  • Maddy1251
I am a little rusty on my geo skills, but that is what I would personally put in.
anonymous
  • anonymous
thank u so much :)
Maddy1251
  • Maddy1251
You're welcome! I hope it is right. But, I am 99.999999% sure it is. If we had a radius, then there is another formula we would use to calculate that, but frankly we do not have one.
Maddy1251
  • Maddy1251
Best of luck, if you ever need help, mention me I will help you.
anonymous
  • anonymous
:)

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