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a. angle addition postulate with angles forming a straight line angle.b. triangle sum theorem c. linear pair postulate

a. angle addition postulate with angles forming a straight line angle.b. triangle-example-1

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A. angle addition postulate with angles forming a straight line angle

1) Examining that table, we can see that step 4 is a consequence of the third step, the triangle sum theorem.

2) Then in step 4, we have the following reason to state that the sum of those angles is 180º: Then as we can see below:

We have a Linear Pair between the angles ∠ABD, ∠DBE, and ∠CBE since those angles combined add up to 180º (a straight angle) in red.

3). Hence, the answer is A

a. angle addition postulate with angles forming a straight line angle.b. triangle-example-1
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