Find the degree measure of each angle in the triangle. mangle V = (x – 5) degrees, mangle W = (x – 5) degrees, mangle X = (4x + 4) degrees

To find the degree measure of each angle in the triangle, we can use the fact that the sum of the angles in a triangle is 180 degrees. Therefore, we have: $$textrm{m},angle V + textrm{m},angle W + textrm{m},angle X = 180^circ$$ Substituting the given expressions for each angle, we get: $$(x-5)^circ + (x-5)^circ + (4x+4)^circ = 180^circ$$ Simplifying this equation, we get: $$6x - 6 = 180$$ $$6x = 186$$ $$x = 31$$ Now we can find the measure of each angle: $$textrm{m},angle V = left(x - 5right)^{circ} = 26^circ$$ $$textrm{m},angle W = left(x - 5right)^{circ} = 26^circ$$ $$textrm{m},angle X = left(4x + 4right)^{circ} = 132^circ$$ Therefore, the degree measure of each angle in the triangle is 26 degrees, 26 degrees, and 132 degrees.