Answer:
x = 58
y = 32
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Explanation:
If angle x is the reference angle, then the side 9 is the adjacent side (it is the closer leg to angle x). The hypotenuse is 17 as it is opposite the largest angle. The largest side is always opposite the largest angle in a triangle.
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cos(angle) = adjacent/hypotenuse
cos(x) = 9/17
x = arccos(9/17)
x = 58.034281249203
x = 58
Arccosine is the same as inverse cosine, written as [tex]\cos^{-1}[/tex]
Make sure your calculator is in degree mode.
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Edit:
After finding x, we can find y
x+y = 90
58+y = 90
y = 90-58
y = 32
