In the following diagram, a || b. use complete sentences to explain how the special angles created by the intersection of a and b by d can be used to solve for x.

X= 24the angle marked 3x+7 is a vertical angle with  ∠2, since they share only a vertex; this means they are congruent.    ∠2 and  ∠6 are alternate interior angles because of transversal d; this means they are congruent.  ∠6 and the angle marked 4x+5 are adjacent angles, which means they are supplementary.  this leads us to the equation(4x+5)+(3x+7) = 180combining like terms, we have7x + 12 = 180subtract 12 from both sides: 7x + 12 - 12 = 180 - 127x = 168divide both sides by 7: 7x/7 = 168/7x = 24