The complete proof is:
1. r║s [given]
2 m∠2 ≅ m∠3 [vertical angles]
3. m∠5 and m∠3 are supplementary angles [same-side]
4 m∠5 ≅ m∠8 [vertical angles]
5. m∠2 & m∠8 are supplementary [substitution]
What are Supplementary Angles?
If the sum of two angles equals 180 degrees, they are defined as supplementary angles.
The proof that shows angles 2 and 8 are supplementary is shown below:
1. r║s [given]
2. m∠2 ≅ m∠3 [vertical angles]
3. m∠5 and m∠3 are supplementary angles [same-side interior angles]
4. m∠5 ≅ m∠8 [vertical angles]
5. m∠2 and m∠8 are supplementary [substitution]
Learn more about supplementary angles on:
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