Question

Find m∠TUL.

m∠TUV = 167°
m∠TUL = (x + 11)°
m∠LUV = (11x)°

Answer 1

The question has 4 letters to identify a triangle.
For each of the angles, U is in the centre, thus indicating the vertex of the angle.

You are not describing a triangle

Answer 2

We can use the fact that the sum of the angles in a triangle is 180 degrees to solve for x and then find m∠TUL.

m∠TUV + m∠TUL + m∠LUV = 180°

Substituting the given values, we get:

167° + (x + 11)° + (11x)° = 180°

Simplifying the equation, we get:

12x + 178 = 180

12x = 2

x = 1/6

Now we can find m∠TUL:

m∠TUL = (x + 11)°

m∠TUL = (1/6 + 11)°

m∠TUL = 67/3° or approximately 22.33°

Therefore, m∠TUL is approximately 22.33 degrees.