Find the value of x.

m∠TUV = 172°
m∠TUL = (x + 16)°
m∠LUV = (11x)°
Responses
A 77
B 1313
C 1616
D 10

We know that the sum of the angles in a triangle is 180 degrees. Therefore, we can set up an equation:

m∠TUV + m∠TUL + m∠LUV = 180

Substituting the given values:

172 + (x + 16) + 11x = 180

Simplifying:

12x + 188 = 180

12x = -8

x = -2/3

Therefore, none of the answer choices provided are correct.

I see 4 letters in the angle definitions, so I don't think the 3 angles

are the angles of a triangle.
Notice the letter U shows the "vertex" of each of the angles,
so they can't refer to angles of the same triangle.

Fix your question.