Answer & Step-by-step explanation:
In order to solve for x, we can use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
Instead of using the original formula, we will rearrange the formula so we can find the missing side, b, which will represent x.
[tex]b^2=c^2-a^2[/tex]
Now, lets plug in our numbers.
[tex]b^2=120^2-76^2\\b^2=14400-5776\\b^2=8624\\\sqrt{b^2} =\sqrt{8624}\\ b=92.87[/tex]
So, x equals 92.87
Now, lets find y. Since we did the Pythagorean Theorem, this shows that the triangle is a right triangle. So, that means we already know the measurements of two angles which will help us find y.
180 - (35 + 90)
180 - 125
55
So, y equals 55
