Question

Angie and Becky each completed a separate proof to show that the measures of vertical angles AKG and HKB are equal. Who completed the proof incorrectly? Explain. line AB intersecting line GH at K Angie's Proof Statement Justification 1. Segment GH intersects segment AB at K 1. Given 2. m∠AKG + m∠GKB = 180° m∠GKB + m∠HKB = 180° 2. Definition of Supplementary Angles 3. m∠AKG + m∠ GKB = m∠GKB + m∠HKB 3. Substitution Property 4. m∠AKG = m∠HKB 4. Subtraction Property Becky's Proof Statement Justification 1. Segment GH intersects segment AB at K 1. Given 2. m∠AKG + m∠GKB = 180° m∠GKB + m∠HKB = 180° 2. Angle Addition Postulate 3. m∠AKG + m∠ GKB = m∠GKB + m∠HKB 3. Substitution Property 4. m∠AKG = m∠HKB 4. Subtraction Property

Answer 1

Answer:

Becky Did the Proof Wrong, since a Postulate is two adjacent angles that can be added to t=find the measure of another angle,

AKG + GKB= 180 Degrees Is the definition of Supplementary angles, since a supplementary angle is the sum of two angles equaling 180 Degrees

Otherwise, they follow the same steps in Steps 1,3, and 4

Step-by-step explanation: