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 concluded 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 concluded about their measures?
Step 1: Identify the two parallel lines. Let's call them Line 1 and Line 2.
Step 2: Identify the transversal line that intersects both Line 1 and Line 2.
Step 3: Locate angle A and angle B. These angles are formed on opposite sides of the transversal and outside the two parallel lines.
Step 4: Recognize that angle A and angle B are called alternate exterior angles.
Step 5: Apply the Alternate Exterior Angles Theorem, which states that if two parallel lines are cut by a transversal, then the 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 Theorem – This theorem states that when a transversal intersects two parallel lines, the alternate exterior angles formed are equal.
