Find the measure of angle TUV

∠TUV = 120°

Step-by-step explanation:

Since this figure is a kite, we know that; ∠TUV ≈ ∠TWV, so first we solve for x:

9x - 6 = 7x + 22

2x - 6 = 22

2x = 28

x = 14

Now, substitute 14 in for x, in the equation for ∠TUV:

∠TUV = 9x - 6

∠TUV = 9(14) - 6

∠TUV = 126 - 6

∠TUV = 120°

Hope this helps!