Question

9. Find the value of x. Using that value, what is the

measurement of ZUTQ?
thank you <3

Answer 1

Answer: 92°

Explanation:

Answer 2

92°

Explanation:

We know that
`\overline{QV}` is a straight line which means that we know that ∠QTU + ∠VTU = 180

11x+4+∠VTU = 180

∠VTU = 180-11x-4

∠VTU = 176-11x

Then, using the triangle inequality, we know that ∠VTU+∠TUV+∠UVT = 180

3x+14+54+176-11x=180

-8x+244=180

-8x = -64

x=8

Now we can substitute and solve for ∠UTQ

11(8)+4 = 88+4 = 92°