In Delta TUV,mangle T=(5x-3)^circ ,mangle U=(4x+4)^circ and mangle V=(x-11)^circ Find mangle V

To find the measure of angle V in triangle TUV, we can use the fact that the sum of the angles in a triangle is always 180 degrees. <br /><br />Given:<br />m∠T = (5x - 3)°<br />m∠U = (4x + 4)°<br />m∠V = (x - 11)°<br /><br />Step 1: Set up an equation using the sum of the angles in a triangle.<br />(5x - 3) + (4x + 4) + (x - 11) = 180<br /><br />Step 2: Simplify the equation.<br />10x - 10 = 180<br /><br />Step 3: Solve for x.<br />10x = 190<br />x = 19<br /><br />Step 4: Substitute the value of x back into the expression for m∠V.<br />m∠V = (19 - 11)°<br />m∠V = 8°<br /><br />Therefore, the measure of angle V in triangle TUV is 8 degrees.