Theorems on Angle Pairs
The next theorem involves a proof that is very similar to that of the Complement Theorem.
Theorem. Supplement Theorem
If two angles are supplements of congruent angles (or of the same angle), then the two angles are congruent.
| Given: | and are supplementary. |
| and are supplementary. | |
| Prove: |
Proof
Note that the Supplement Theorem may also be stated as follows: supplements of congruent angles are congruent.
