Please find the value of each variable HELP

Hello!

It looks like we only have one angle measurement and one side measurement.

But this is not true!

You'll notice, by the square, this is a right triangle!

Right triangles have a 90 degree angle.

That means we have two angle measurements!

But now what?

If we add them together, we'll get a number we can subtract from 180 (the total degree measure of any triangle).

180-120 =60

That means the last angle is 60 degrees!

Now we have all three angles.

But what about the sides?

We have enough information to figure out the sides.

I will use geogebra to make the nine-unit line, and create an angle by making two points, one ninety degrees clockwise, and the other sixty. Then, I used the line tool to extend the lines and marked the points of intersections with the intersect tool. Everything checks out, the angles are correct! FInally, I use a measure tool to measure the segments created by intersections that make the triangle. (NOTE THAT THE TRIANGLE WAS FLIPPED WHEN I MAPPED IT)

y = (rounded up) 16, look a diagram

x = 18

I can check it using the Pythagoreas theorem!

9^2+16^2

81 + 256= 337

The square root of 337 is about 18!

Because this is not totally exact, be sure to use a formula to get the true answer!