50 points answer 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

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

Step-by-step explanation:

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d