U=6
To start off, we know the angles of a triangle add up to 180 degrees. This means that T + U + V = 180. Plugging in the values for the angles, we get the equation (10x + 14) + (2x + 4) + (x-7) = 180. since there is no way to simplify the equations in the parenthesis and there is no multiplication to distribute inside of them, we find theyre not really necessary, to the equation then becomes 10x + 14 + 2 x + 4 + x - 7 = 180. Combining like terms, 10x + 2x + x + 14 + 4 - 7 = 180 we can simplify to 13x + 11 = 180. Then we subtract 11 from both sides. 13x = 169. Then we divide both sides by 13. x = 13. Now that we know the value of x, we can substitute this into the smaller equation for angle u, which is x - 7 = x, to become 13 - 7 = x. Subtracting 7 from both sides finds us our answer of angle U being 6 degrees.