Question

Given the results of your calculations in #5, what can you say about the measure of vertical angles?

A. Vertical angles are always congruent, so their measures are equal.
B. Vertical angles can have different measures based on specific conditions.
C. The measure of vertical angles is always half of the measure of adjacent angles.
D. Vertical angles are always supplementary, so their measures add up to 180 degrees.

Answer 1

The measure of vertical angles is always equal since they are congruent. This geometric fact does not rely on conditions like the side lengths of a triangle or other variables.

Step-by-step explanation:

The question posed relates to the measure of vertical angles which are formed when two lines intersect. From the information given, it seems that a right triangle and the principles of trigonometry and geometry are under discussion. Given the nature of vertical angles, the correct answer to the question would be: A. Vertical angles are always congruent, so their measures are equal.

This is because when two lines intersect, they form two pairs of vertical angles, which are opposite each other. By definition, vertical angles are congruent, meaning they have the same measure. This is a fundamental concept in geometry and does not depend on the lengths of the sides of the triangles or other conditions.