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<u>Answer:</u>
The correct answer option is C. S = 54.6°.
<u>Step-by-step explanation:</u>
We are given a right angled triangle with two known sides, 
and 
.
We are to find the value of the angle 
.
For that, we will use sine.
S = 54.6°
Answer:
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.
....I am not sure if this is an answerable question XD
