Choose the most accurate relationship between ∠1 and ∠2.
A horizontal line is shown with a ray extending upward from a point near the center of the line. A second line runs diagonally from the lower left to the upper right, intersecting the line at the point of origin of the upward pointing ray.
The angle formed by the two lines below the horizontal line on the left is labeled 1.
The angle formed just left of the horizontal line and upward pointing ray is labeled 2.
The angle just right of the upward ray formed by the upward ray and diagonal line is labeled 4.
The angle formed just right of the diagonal line and above the horizontal line is labeled 5.
The angle formed below the horizontal line and just right of the diagonal line is labeled 6.
(1 point)
Responses
adjacent
adjacent
linear pair
linear pair
supplementary
supplementary
vertical
Based on the description, ∠1 and ∠2 are adjacent to each other as they share a common arm (the horizontal line) and a common vertex (the point of intersection of all the lines and rays). They also form a linear pair because they are directly next to each other, and together, they appear to form a straight line or 180 degrees.
Hence, the relationship between ∠1 and ∠2 is that they are adjacent and linear pair, and by definition of linear pair, they are also supplementary (their measures add up to 180 degrees).
The most accurate choice that encompasses all these aspects would be "linear pair," as this implies that they are also adjacent and supplementary.
So the correct answer is:
linear pair