Linear Pair Theorum Proof

Linear Theorum: If two angles form a linear pair, then they are supplementary.

Given: linear pair

Statements/Conclusion Justification

1) ABD and DBC are a linear pair. 1) Given

2) ray BA and ray BC are opposite rays. 2) Definition of linear pair

3) mABC = 180 degrees. 3) Straight Angle Assumption

4) mABD + mDBC = mABC. 4) Angle Addition Assumption

5) mABD + mDBC = 180 degrees. 5) Substitution Property

6) ABD and DBC are supplementary angles. 6) Definition of supplementary angles

Statements/Conclusion	Justification
1) ABD and DBC are a linear pair.	1) Given
2) and are opposite rays.	2) Definition of linear pair
3) mABC = 180 degrees.	3) Straight Angle Assumption
4) mABD + mDBC = mABC.	4) Angle Addition Assumption
5) mABD + mDBC = 180 degrees.	5) Substitution Property
6) ABD and DBC are supplementary angles.	6) Definition of supplementary angles

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- Jaime III
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