Step-by-step explanation: you can solve this two different ways. By using corresponding angles or vertical angles. Either way, the angles will sum to 180 either by linear pairs or by same side interior angles.
(5x-14) + (8x+12) = 180. Combine like terms.
13x-2 = 180. Add 2 to both sides. 13x = 182. Divide both sides by 13. X = 14.
