McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
5. Angles and Parallel Lines
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Exercise 44 Page 313

Take a look at the names of the pairs of angles that you were learning about so far, Alternate Interior Angles, Alternate Exterior Angles, and Alternate Exterior Angles. Do you see a pattern?

Consecutive Exterior Angles. See solution.

Practice makes perfect

Here is what we are asked to do.

  1. Draw a pair of parallel lines cut by a transversal.
  2. Measure the two exterior angles on the same side of the transversal.

Once we do it, we need to come up with a name for the pair of the angles. Let's start with the drawing.

Now, we can measure the angles.

We can tell that the measure of ∠ 2 is 120. After measuring ∠ 1, we get that m ∠ 1 =60.

Now, let's recall the names and descriptions for other pairs of angles that we learned so far.

Our angles are exterior angles on the same side of the transversal. Based on the pattern for naming the other pairs of angles, we can conclude that they should be called Consecutive Exterior Angles.