Question

Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures created by the intersecting lines? Explain.

Answer 1

If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.

Explanation:

Answer 2

Adjacent angles create linear pairs so they add to 180. If we know the measure of one angle, we can find the other by subtracting from 180.

Vertical lines create congruent angles. If we know the measure of one angle, we know the measure of the angle opposite of it (they only share a vertex, no sides)