Beck used a wrong reason to justify the second statement instead of using the definition of supplementary angles. Therefore, Becky completed the proof incorrectly.
What are Supplementary Angles?
When two angles add up to give a sum of 180 degrees, the angles are said to be supplementary angles by definition.
In the image given, ∠AKG and ∠GKB are supplementary angles, so also are ∠GKB and ∠HKB.
By definition of supplementary angles, we would have:
m∠AKG + m∠GKB = 180°
m∠GKB + m∠HKB = 180°
Therefore, Angie's proof is correct while Becky's is incorrect because she used angle addition postulate to justify the second statement instead of definition of supplementary angles.
Learn more about the supplementary angles on:
https://brainly.com/question/8992900
#SPJ1
