If angle A and angle B are alternate exterior angles formed by a transversal int
Practice Questions
Q1
If angle A and angle B are alternate exterior angles formed by a transversal intersecting two parallel lines, what can be said about their measures?
They are equal.
They are complementary.
They are supplementary.
They are not related.
Questions & Step-by-Step Solutions
If angle A and angle B are alternate exterior angles formed by a transversal intersecting two parallel lines, what can be said about their measures?
Step 1: Identify the two parallel lines. Let's call them Line 1 and Line 2.
Step 2: Draw a transversal line that intersects both Line 1 and Line 2. This is the line that crosses the two parallel lines.
Step 3: Locate angle A and angle B. These angles are formed on opposite sides of the transversal and outside the parallel lines.
Step 4: Understand the relationship between angle A and angle B. Since they are alternate exterior angles, they are positioned on opposite sides of the transversal.
Step 5: Recall the property of alternate exterior angles. When two parallel lines are cut by a transversal, alternate exterior angles are equal.
Step 6: Conclude that the measure of angle A is equal to the measure of angle B.
Alternate Exterior Angles – When two parallel lines are intersected by a transversal, the alternate exterior angles formed are equal in measure.
Transversal – A transversal is a line that crosses at least two other lines, creating various angles, including alternate exterior angles.
Parallel Lines – Parallel lines are lines in a plane that do not meet; they are always the same distance apart and have the same slope.
