McGraw Hill Glencoe Geometry, 2012
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McGraw Hill Glencoe Geometry, 2012 View details
1. Classifying Triangles
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Exercise 82 Page 244

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

alternate interior angles

Practice makes perfect
A transversal is a line that intersects two or more coplanar lines at two different points. Now, let's analyze ∠ 5 and ∠ 3 on the given diagram.

As we can see, ∠ 5 and ∠ 3 are formed by line i and line k and transversal g. They do not share any side or a point, so they are nonadjacent. Also, ∠ 5 and ∠ 3 are interior angles that lie on opposite sides of the transversal. Therefore, the angles are alternate interior angles.