(01.07 hc)
angle 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.
angie's proof
statement
justification
1. segment gh intersects segment ab at k 1. given
2. m akg + gkb - 180°
2. definition of supplementary angles
m_gkb + m_hkb = 180°
3. m akg + m2 gkb gkb +mchkb 3. substitution property
4. m. akg - hkb
4. subtraction property
becky's proof
statement
justification
1. given
1. segment gh intersects segment abk
2. m akg + m gkb 180°
m_gkb + mchkb = 180°
3. m. akgmgkb gkb hkb
2. angle addition postulate
3. substitution property
4. m. akg = mchkb
4. subtraction property