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Using Properties of Parallel Lines

Using Properties of Parallel Lines 1.10 - Solution

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First, we are going to review the definition of alternate exterior angles. These are angles that lie outside the parallel lines on opposite sides of the transversal. Let's now draw two lines and a transversal and calculate the number of pairs of such angles.

The exterior angles on this diagram are and They form two pairs of alternate exterior angles. Thus, two lines and a transversal form two pairs of alternate exterior angles.