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How to find the measure of an angle?

By Abigail Rogers
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I have a triangle with the following angles:

  • 84 degrees,

  • x + 59,

  • and x + 51.

x + 51 is angle A

I have to find angle A's measure.

Since the interior angles of a triangle add up to be 180 degrees, I set up the equation like so:

x + 59 + x + 51 + 84 = 180 My equation

2x + 194 = 180 add like terms

2x = -19 subtract 194 from both sides of the equation

x = -7 divided both by 2x to get x alone

It has occurred to me that I am finding x here (it still makes no sense to get a negative number) but this is the only equation I know to set up.

Notes:

This is for geometry homework and I realize just asking you to solve my problems is academically dishonest off topic if I have not put genuine effort into the question, which I have (put effort in, that is). I have put a lot of mental effort into figuring this out, though, so I will tell you what I did and hopefully you can tell me where I went wrong and how to correct my mistake, because I think it is obvious I made one. For the record I accidentally deleted my math notes from my iPad and Googling the question this morning produces hard to understand results. My geometry teacher was unavailable while I was working last night due to my lack of internet connection.

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2 Answers

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84+x+59+x+51 = 180 so x=-7 therefore angles are -7+51=44 which is A and -7+59=52 Thus angles are 84,44,52. NOTE x isn't a angle so dont get confused all angles are positive here. Thanks!

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Just ı want to learnd what the x and how did you do

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