Question

Part A

Answer 1

Welll, the angles should be supplemeentary since they are a linear pair, so the correct answer shoudl be something nlike




2x+x+75=180
3x+75=180
x+25=60
x=35








so the answers are
A. solution B is incorrrect
B. the 2nd to last option (they are a same-side interior angle, which mean that they are supplemtnary... The angle measures should not be set equal to each other)

Answer 2

The correct answers are:

Part A: Solution A is incorrect.

Part B: 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.

Explanation:

The two angles listed are same-side interior angles. This is because they are inside the block of parallel lines and on the same side of the transversal (the side of the trapezoid). Same-side interior angles are supplementary, so these angles must be supplementary. This means their sum is 180°:

2x+x+75 = 180