Question

Two horizontal lines are cut by a transversal. What is the least number of angle measures you need to in order to find the measure of every angle

Answer 1

To find the measure of every angle formed by two horizontal lines cut by a transversal, we need to consider alternate interior angles, corresponding angles, and vertical angles.

Step-by-step explanation:

To find the measure of every angle formed by two horizontal lines cut by a transversal, we need to consider three types of angles: alternate interior angles, corresponding angles, and vertical angles.

1. Alternate Interior Angles:

Alternate interior angles are angles that are on opposite sides of the transversal and inside the two lines. They are congruent (equal) to each other. So, if we find the measure of one alternate interior angle, we automatically know the measure of its corresponding alternate interior angle.

2. Corresponding Angles:

Corresponding angles are angles that are in the same position relative to the transversal and the two lines. They are congruent (equal) to each other. Therefore, finding the measure of one corresponding angle will give us the measure of its corresponding angle as well.

3. Vertical Angles:

Vertical angles are formed by a pair of intersecting lines. They are always congruent (equal) to each other. So, if we find the measure of one vertical angle, we automatically know the measure of its corresponding vertical angle.

By determining the measures of these three types of angles, we can find the measure of every angle formed by two horizontal lines cut by a transversal.

Answer 2

You only need 1 angle measure if the lines are parallel, 2 if not