Angie and becky each completed a separate proof to show that the measures of vertical angles akg and hkb are equal. who complete
1 answer:
Beck used a wrong reason to justify the second statement instead of using the definition of supplementary angles. Therefore, Becky completed the proof incorrectly.
<h3>What are Supplementary Angles?</h3>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.
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