Part a

which solution for the value of x in the figure is incorrect?

2x = x + 75
x = 75

2x + x + 75 = 180
3x + 75 = 180
3x = 105
x = 35

(1 point)

solution a is incorrect. solution b is incorrect. both solutions are incorrect. neither solution is incorrect.

part b
which reason could you give to explain your answer to the previous item?
(1 point)

the labeled angles are corresponding angles, which are congruent. congruent angles have equal measures, so x + 75 should be set equal to 2x, not added to 2x and set equal to 180.the labeled angles are alternate interior angles, which are congruent. congruent angles have equal measures, so x + 75 should be set equal to 2x, not added to 2x and set equal to 180.the labeled angles are same-side interior angles, which are supplementary. the measures of supplementary angles total 180 degrees, so x + 75 plus 2x should be set equal to 180. the angle measures should not be set equal to each other. the labeled angles are a linear pair, which mean that they are supplementary. the measures of supplementary angles total 180 degrees, so x + 75 plus 2x should be set equal to 180. the angle measures should not be set equal to each other.