Final Answer:
a) Complementary angles add up to 90 degrees.
b) Supplementary angles add up to 180 degrees.
c) Vertical angles are opposite each other and equal.
d) Adjacent angles share a common arm and a vertex.
Step-by-step explanation:
Complementary angles, as indicated by the term "complement," complete each other to form a right angle of 90 degrees. For example, if one angle measures 30 degrees, its complementary angle would measure 60 degrees, combining to make a right angle.
Supplementary angles, on the other hand, go beyond complementarity, summing up to create a straight line of 180 degrees. If one angle measures 120 degrees, its supplementary angle would be 60 degrees, resulting in a total of 180 degrees when combined.
Vertical angles are formed by the intersection of two lines. They are opposite each other and are equal in measure. Imagine an "X" shape formed by two intersecting lines – the angles at the top and bottom are vertical angles, and so are the angles on the left and right.
Adjacent angles are neighbors; they share a common arm and a vertex. Picture two rays extending from a common point – the angle formed by these rays is considered adjacent. If one angle measures 40 degrees, and its adjacent angle measures 50 degrees, they collectively form a 90-degree angle.