McGraw Hill Glencoe Geometry, 2012
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McGraw Hill Glencoe Geometry, 2012 View details
1. Classifying Triangles
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Exercise 85 Page 244

Are the angles adjacent? Do they lie on the same side or different sides of the transversal?

Alternate exterior angles

Practice makes perfect
A transversal is a line that intersects two or more coplanar lines at two different points. Let's analyze ∠ 1 and ∠ 11 on the given diagram.

As we can see, ∠ 1 and ∠ 11 are formed by line g and line h and transversal i. They do not have a common side or a point, so the angles are nonadjacent. Also, these are exterior angles that lie on opposite sides of transversal i. Therefore, ∠ 1 and ∠ 11 are alternate exterior angles.