The angle will still be the same, no matter what size, so z is still 34 degrees.
Notice that 9 and 5 are the only measurements that stay.
To find the proportion (idk if thats the right word) between the two triangles, we make a fraction, \(\frac{5}{9}\). We do this so that we can figure out the lengths of each side by multiplying and/or dividing.
To find y, we multiply 18 by \(\frac{5}{9}\), getting 10, so y is 10.
To find x, we have to DIVIDE 8 by \(\frac{5}{9}\), since unlike y, x is on the left triangle.
8 divided by \(\frac{5}{9}\)is 14.4, so x is 14.4.
So the final answer is:
x = 14.4
y = 10
z = 34 degrees
Correct me if I'm wrong!