If line VX is the bisector of angle V, find the perimeter of triangle VUW .

Since VX is the bisector of angle V and < VXU is a right angle then  UX is congruent to XW and triangle VUW is isosceles with VU = VW. 3z - 4 = x + 6 2z = 10 z = 5 so UW = 3(5) - 4 + 5 + 6  = 22 and VW = 5(5) - 1 = 24 VU = VW = 24  perimeter = 2(24) + 22 =  70