Given: <1 and <2 are supplements, 1 2 3 4
<3 and <4 are supplements,
<1
<4
Prove: <2
<1
Prove: <2
| Statements | Reasons |
| 1. <1 and <2 are supplements, <3 and <4 are supplements, <1
| 1. |
| 2. m<1 + m<2 = 180˚ m<3 + m<4 = 180˚ | 2. |
| 3. m<1 + m<2 = m<3 + m<4 | 3. |
| 4. m<1 = m<4 | 4. |
| 5. m<1 + m<2 = m<3 + m<1 | 5. Substitution Property of Equality |
| 6. m<2 = m<3 | 6. |
7. <2
| 7. |