Practice Problems on Alternate Exterior Angles
Q1: Given two parallel lines intersected by a transversal, if the measure of ∠1 is 120 degrees, find the measure of the alternate exterior angle, ∠5.
Q2: If ∠A and ∠B are alternate exterior angles, and ∠A measures 50 degrees, what is the measure of ∠B?
Q3: In a pair of parallel lines, if one angle formed by a transversal is 70 degrees, what is the measure of its alternate exterior angle?
Q4: If ∠1 and ∠2 are alternate exterior angles, and ∠1 measures 110 degrees, find the measure of ∠2.
Q5: If the measure of one alternate exterior angle formed by a transversal is 45 degrees, what is the measure of the other alternate exterior angle?
Alternate Exterior Angles
Alternate Exterior Angles in maths are generated when a transversal connects two or more parallel lines at different locations. Alternate exterior angles are a pair of angles that lie on the opposite sides of a transversal line and on the outer sides of two intersecting lines. When a transversal line intersects two other lines, it creates several pairs of angles, and alternate exterior angles are one of these pairs. You can also check the article on parallel lines and traversal to study it in detail.
The phrase exterior refers to something that is located on the outside. They are placed on opposing sides of the transversal and lie outside the two crossed lines. As a result, the two external angles formed at the opposite ends of the transversal in the outside component are termed a pair of alternative exterior angles and are always equal. When a transversal intersects two parallel lines, we obtain two such pairs of alternate exterior angles.
In this article, you will study what are alternate exterior angles, the alternate exterior angles theorem, and examples of alternate exterior angles.
Table of Content
- Alternate Angles in Geometry
- Alternate Exterior Angles in Geometry
- Alternate Exterior Angles Theorem
- Converse of Alternate Exterior Angles Theorem
- Are Alternate Exterior Angles Congruent?
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