In ΔVWX, \overline{VX} VX
is extended through point X to point Y, \text{m}\angle VWX = (x+14)^{\circ}m∠VWX=(x+14)
∘
, \text{m}\angle XVW = (x+9)^{\circ}m∠XVW=(x+9)
∘
, and \text{m}\angle WXY = (5x-10)^{\circ}m∠WXY=(5x−10)
∘
. What is the value of x?x?

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem