In ATUV, TV is extended through point V to point W, m VTU (x - 2)°, mZTUV (2x + 11)', and
mZUVW = (6x – 15)°. Find mZUVW.

m∠UVW = 53°

Step-by-step explanation:

From the picture attached,

m(∠VTU) = (x - 2)°

m(∠TUV) = (2x + 11)°

m(∠UVW) = (6x - 15)°

Since, ∠UVW is the exterior angle of the ΔTUV,

By the triangle sum theorem,

m∠VTU + m(∠TUV) + m(∠UVW) = 180°

(x - 2)° + (2x + 11)° + (6x - 15)° = 180°

9x - 6 = 180

9x = 186

x =

x =

By the property of exterior angle of a triangle,

m(∠UVW) = m(∠VTU) + m(TUV)

                = (x - 2) + (2x + 11)

                = 3x - 9

Now by substituting the value of x,

(3x - 9)° =

           = 62 - 9

           = 53°

Therefore, m∠UVW = 53°

y=3n + 1

step-by-step explanation:

this is wrong because it says the second number is one less and i added one instead