STUDY G Tools
28. Justify Reasoning Prove the Linear Pair Theorem.
Given: ZMJK and ZMJL are a linear pair of angles.
Prove: ZMJK and ZMJL are supplementary
Complete the proof by writing the missing reasons.
Choose from the following reasons.
Angle Addition Postulate
Definition of linear pair
Essentia
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Given
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Substitution Property of Equality
Find u
Reasons
Statements
1.
1. ZMJK and ZMJL are a linear pair.
2.
2. I and JK are opposite rays.
3. I and JK form a straight line.
4. mZUJK = 180°
3. Definition of opposite rays
4. Definition of straight angle
5.mZMJK + mZML=mZUK
5.
6. mZMUK + mZMUL = 180°
6.
7. ZMJK and ZMJL are supplementary
7. Definition of supplementary angles