Write a two-column proof.
Given: mZGFI=138°
Prove: mZEFI=44°
1. mZGFI=138°
2. mZGFE+mZEFI=mZGFI
3. mZGFE+mZEFI=
4. mZGFE=(9x-5),
mZEFI=4x°
5. 9x-5+4x=138
6. = 138
7
x=
8. x=
9. mZEFI=
0
(9x-5)°
F
4x0
1. Given
2.
3. Substitution Property, (Steps 1.2)
4. Given
5.
6. Combine like terms.
7. Addition Property of Equality
8. Division Property of Equality
9. Substitution Property, (Steps 4, 8)