Final answer:
Supplementary angles are two angles that add up to 180 degrees. Vertical angles are congruent, meaning they have the same measure. Trigonometry can use supplementary angle relationships to find values of trigonometric ratios.
Step-by-step explanation:
Supplementary angles are two angles that add up to 180 degrees. When two lines intersect, the angles that are opposite each other are called vertical angles. Vertical angles are congruent, which means they have the same measure. Therefore, if one angle measures x degrees, its vertical angle will also measure x degrees.
For example, if angle A measures 80 degrees, its vertical angle B will also measure 80 degrees.
In the context of trigonometry, supplementary angle relationships can be used to find the values of trigonometric ratios such as sine, cosine, and tangent.