identify the correct way to classify 1> and 4>
a adjacent and supplementary
b adjacent and complementary
c adjacent and congruent
d vertical and complementary
b adjacent and complementary
To classify 1> and 4>, we need to understand the given terms.
Adjacent angles: Adjacent angles are angles that share a common vertex and side but have no common interior points. In other words, they are angles that are next to each other.
Supplementary angles: Supplementary angles are pairs of angles that add up to 180 degrees.
Complementary angles: Complementary angles are pairs of angles that add up to 90 degrees.
Vertical angles: Vertical angles are pairs of opposite angles formed by the intersection of two lines. They have the same vertex and are congruent (equal in measure).
Congruent angles: Congruent angles are angles that have the same measure.
Now, let's classify 1> and 4> based on their properties:
1> and 4> are angles next to each other and share a common vertex. Therefore, they are adjacent angles.
Since adjacent angles 1> and 4> are next to each other, they cannot be supplementary (add up to 180 degrees) or complementary (add up to 90 degrees) because their measures do not add up to 180 or 90 degrees.
Also, 1> and 4> are not vertical angles. Vertical angles are formed by two intersecting lines, and in this case, only one angle (1>) and four other angles exist.
Therefore, the correct classification for 1> and 4> is: a) adjacent angles.