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)
<em>Part B</em>: 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°:
