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. When two lines intersect, four angles are formed. Each opposite pair are called vertical angles and are always congruent while each angle with the angle adjacent to it is called linear pair and may not be congruent.
Sample Response: 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.

What did you include in your response? Check all that apply.

The sum of the measures of the angles in a linear pair is 180 degrees.
Vertical angles are congruent.