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linear pair postulate

linear pair postulate. <2. <1. Given: L intersects M <1 = 60° Prove: <2 = 120°. L. <4. <3. M. Statement Reason L intersects M given <1 = 60° given. <2. <1. L. Given: L intersects M <1 = 60° Prove: <2 = 120°. <4. <3. M. Statement Reason L intersects M given

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linear pair postulate

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  1. linear pair postulate

  2. <2 <1 Given: L intersects M <1 = 60° Prove: <2 = 120° L <4 <3 M StatementReason L intersects M given <1 = 60° given

  3. <2 <1 L Given: L intersects M <1 = 60° Prove: <2 = 120° <4 <3 M Statement Reason L intersects M given <1 = 60° given <1 + <2 = 180° linear pair postulate

  4. <2 <1 L Given: L intersects M <1 = 60° Prove: <2 = 120° <4 <3 M Statement Reason L intersects M given <1 = 60° given <1 + <2 = 180° linear pair postulate 60° + <2 = 180° substitution

  5. <2 <1 Given: L intersects M <1 = 60° Prove: <2 = 120° L <4 <3 M Statement Reason L intersects M given <1 = 60° given <1 + <2 = 180° linear pair postulate 60° + <2 = 180° substitution <2 = 120° subtraction property

  6. <2 <1 Given: L intersects M Prove: <1 = <3 L <4 <3 M Statement Reason L intersects M given

  7. <2 <1 Given: L intersects M Prove: <1 = <3 L <4 <3 M Statement Reason L intersects M given <1 + <2 = 180° linear pair postulate

  8. <2 <1 Given: L intersects M Prove: <1 = <3 L <4 <3 M Statement Reason L intersects M given <1 + <2 = 180° linear pair postulate <2 + <3 = 180° linear pair postulate

  9. <2 <1 Given: L intersects M Prove: <1 = <3 L <4 <3 M Statement Reason L intersects M given <1 + <2 = 180° linear pair postulate <2 + <3 = 180° linear pair postulate <1 + <2 = <2 + <3 substitution

  10. <2 <1 Given: L intersects M Prove: <1 = <3 L <4 <3 M Statement Reason L intersects M given <1 + <2 = 180° linear pair postulate <2 + <3 = 180° linear pair postulate <1 + <2 = <2 + <3 substitution <1 = < 3 subtraction property

  11. <2 <1 Given: L intersects M <1 = 60° Prove: <3 = 60° L <4 <3 M Statement Reason L intersects M given <1 = 60° given

  12. <2 <1 Given: L intersects M <1 = 60° Prove: <3 = 60° L <4 <3 M Statement Reason L intersects M given <1 = 60° given <1 + <2 = 180° linear pair postulate

  13. <2 <1 Given: L intersects M <1 = 60° Prove: <3 = 60° L <4 <3 M Statement Reason L intersects M given <1 = 60° given <1 + <2 = 180° linear pair postulate <2 + <3 = 180° linear pair postulate

  14. <2 <1 Given: L intersects M <1 = 60° Prove: <3 = 60° L <4 <3 M Statement Reason L intersects M given <1 = 60° given <1 + <2 = 180° linear pair postulate <2 + <3 = 180° linear pair postulate <1 + <2 = <2 + <3 substitution

  15. <2 <1 Given: L intersects M <1 = 60° Prove: <3 = 60° L <4 <3 M Statement Reason L intersects M given <1 = 60° given <1 + <2 = 180° linear pair postulate <2 + <3 = 180° linear pair postulate <1 + <2 = <2 + <3 substitution <1 = < 3 subtraction property

  16. <2 <1 Given: L intersects M <1 = 60° Prove: <3 = 60° L <4 <3 M Statement Reason L intersects M given <1 = 60° given <1 + <2 = 180° linear pair postulate <2 + <3 = 180° linear pair postulate <1 + <2 = <2 + <3 substitution <1 = < 3 subtraction property <3 = 60° substitution

  17. <2 <1 <6 Given: <1 = 60° <2 = <6 Prove: <5 = 60° <5 <4 <3 <8 <7 Statement Reason <1 = 60° given <2 = <6 given

  18. <2 <1 <6 Given: <1 = 60° <2 = <6 Prove: <5 = 60° <5 <4 <3 <8 <7 Statement Reason <1 = 60° given <2 = <6 given <1 + <2 = 180° linear pair postulate

  19. <2 <1 <6 Given: <1 = 60° <2 = <6 Prove: <5 = 60° <5 <4 <3 <8 <7 Statement Reason <1 = 60° given <2 = <6 given <1 + <2 = 180° linear pair postulate 60° + <2 = 180° substitution

  20. <2 <1 <6 Given: <1 = 60° <2 = <6 Prove: <5 = 60° <5 <4 <3 <8 <7 Statement Reason <1 = 60° given <2 = <6 given <1 + <2 = 180° linear pair postulate 60° + <2 = 180° substitution <2 = 120 ° subtraction property

  21. <2 <1 <6 Given: <1 = 60° <2 = <6 Prove: <5 = 60° <5 <4 <3 <8 <7 Statement Reason <1 = 60° given <2 = <6 given <1 + <2 = 180° linear pair postulate 60° + <2 = 180° substitution <2 = 120 ° subtraction property <6 = 120 ° substitution

  22. <2 <1 <6 Given: <1 = 60° <2 = <6 Prove: <5 = 60° <5 <4 <3 <8 <7 Statement Reason <1 = 60° given <2 = <6 given <1 + <2 = 180° linear pair postulate 60° + <2 = 180° substitution <2 = 120 ° subtraction property <6 = 120 ° substitution <5 + <6 = 180° linear pair postulate

  23. <2 <1 <6 Given: <1 = 60° <2 = <6 Prove: <5 = 60° <5 <4 <3 <8 <7 Statement Reason <1 = 60° given <2 = <6 given <1 + <2 = 180° linear pair postulate 60° + <2 = 180° substitution <2 = 120 ° subtraction property <6 = 120 ° substitution <5 + <6 = 180° linear pair postulate <5 + 120 ° = 180° substitution

  24. <2 <1 <6 Given: <1 = 60° <2 = <6 Prove: <5 = 60° <5 <4 <3 <8 <7 Statement Reason <1 = 60° given <2 = <6 given <1 + <2 = 180° linear pair postulate 60° + <2 = 180° substitution <2 = 120 ° subtraction property <6 = 120 ° substitution <5 + <6 = 180° linear pair postulate <5 + 120 ° = 180° substitution <5 = 60° subtraction property

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