Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
Chapter Review
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Exercise 21 Page 73

Let's start by recalling the definition of supplementary angles.

Supplementary Angles

Two positive angles whose measures have a sum of 180^(∘).

Now, let's consider the given diagram.

As we can see, ∠ ADF is a straight angle. This means that we can use any pair of adjacent angles, such that one angle has DA as its side and the other has DF as its side, to create a pair of supplementary angles. ∠ ADB and ∠ BDF