Calculation of x:
we can see that
x is hypotenuse
so, we can use pythagoras theorem
[tex] x=\sqrt{8^2+10^2} [/tex]
[tex] x=2\sqrt{41} [/tex]
Calculation of y:
we can use tan formula to find it
opposite=8
adjacent=10
[tex] tan(y)=\frac{8}{10} [/tex]
[tex] y=tan^{-1}(\frac{8}{10}) [/tex]
[tex] y=38.65degree [/tex]
Calculation of z:
we know that sum of all angles of any triangle is 180
[tex] y+z+90=180 [/tex]
[tex] z=51.35degree [/tex]...........Answer