Question

PLEASE HELP!!!!!!!!!!
If UV = UX = 34, m∠UWV= 9z–24°, and m∠UWX=z, what is the value of z?

Answer 1

z=3 is the answer. Hope this helps!

Explanation:

Answer 2

z = 3

Explanation:

Δ UWV and Δ UWX are similar triangles , thus corresponding angles are congruent , that is

∠ UWV = ∠ UWX , substitute values

9z - 24 = z ( subtract z from both sides )

8z - 24 = 0 ( add 24 to both sides )

8z = 24 ( divide both sides by 8 )

z = 3