corresponding angles postulate vertical angles theorem 1 2

<1 <2 <3 <4 <5 <6 <7 <8 L M Statement Reason L //

<1 <2 <3 <4 <5 <6 <7 <8 L M Given: L // M

<1 <2 <3 <4 <5 <6 <7 <8 L Given: L // M <2

<1 <2 <3 <4 <5 <6 <7 <8 L Given: L // M <4

<1 <2 <3 <4 <5 <6 <7 <8 L Given: L // M <6

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corresponding angles postulate vertical angles theorem

<1 <2 <3 <4 <5 <6 <7 <8 L M Statement Reason L // M given Given: L // M Prove: <2 = <6

<1 <2 <3 <4 <5 <6 <7 <8 L M Given: L // M Prove: <2 = <6 Statement Reason L // M <2 = < 6 given corresponding angles postulate

<1 <2 <3 <4 <5 <6 <7 <8 L Given: L // M <2 = 60° Prove: <6 = 60° M Statement Reason L // M <2 = 60° given

<1 <2 <3 <4 <5 <6 <7 <8 L Given: L // M <2 = 60° Prove: <6 = 60° M Statement Reason L // M <2 = 60° <2 = < 6 given corresponding angles postulate

<1 <2 <3 <4 <5 <6 <7 <8 L Given: L // M <2 = 60° Prove: <6 = 60° M Statement Reason L // M <2 = 60° <2 = < 6 <6 = 60° given corresponding angles postulate substitution

<1 <2 <3 <4 <5 <6 <7 <8 L M Statement Reason L // M given Given: L // M Prove: <4 = <5

<1 <2 <3 <4 <5 <6 <7 <8 L M Given: L // M Prove: <4 = <5 Statement Reason L // M <4 = <8 given corresponding angles postulate

<1 <2 <3 <4 <5 <6 <7 <8 L M Given: L // M Prove: <4 = <5 Statement Reason L // M <4 = <8 <5 = <8 given corresponding angles postulate vertical angle theorem

<1 <2 <3 <4 <5 <6 <7 <8 L M Given: L // M Prove: <4 = <5 Statement Reason L // M <4 = <8 <5 = <8 <4 = <5 given corresponding angles postulate vertical angle theorem substitution

<1 <2 <3 <4 <5 <6 <7 <8 L Given: L // M <4 = 120° Prove: <5 = 120° M Statement Reason L // M <4 = 120° given

<1 <2 <3 <4 <5 <6 <7 <8 L Given: L // M <4 = 120° Prove: <5 = 120° M Statement Reason L // M <4 = 120° <4 = < 8 given corresponding angles postulate

<1 <2 <3 <4 <5 <6 <7 <8 L Given: L // M <4 = 120° Prove: <5 = 120° M Statement Reason L // M <4 = 120° <4 = < 8 <5 = <8 given corresponding angles postulate vertical angle theorem

<1 <2 <3 <4 <5 <6 <7 <8 L Given: L // M <4 = 120° Prove: <5 = 120° M Statement Reason L // M <4 = 120° <4 = < 8 <5 = <8 <4 = <5 given corresponding angles postulate vertical angle theorem substitution

<1 <2 <3 <4 <5 <6 <7 <8 L Given: L // M <4 = 120° Prove: <5 = 120° M Statement Reason L // M <4 = 120° <4 = < 8 <5 = <8 <4 = <5 <5 = 120° given corresponding angles postulate vertical angle theorem substitution

<1 <2 <3 <4 <5 <6 <7 <8 L M Statement Reason L // M given Given: L // M Prove: <2 = <7

<1 <2 <3 <4 <5 <6 <7 <8 L M Given: L // M Prove: <2 = <7 Statement Reason L // M <2 = < 6 given corresponding angles postulate

<1 <2 <3 <4 <5 <6 <7 <8 L M Given: L // M Prove: <2 = <7 Statement Reason L // M <2 = < 6 <7 = <6 given corresponding angles postulate vertical angle theorem

<1 <2 <3 <4 <5 <6 <7 <8 L M Given: L // M Prove: <2 = <7 Statement Reason L // M <2 = < 6 <7 = <6 <2 = <7 given corresponding angles postulate vertical angle theorem substitution

<1 <2 <3 <4 <5 <6 <7 <8 L Given: L // M <2 = 60° Prove: <7 = 60° M Statement Reason L // M <2 = 60° given

<1 <2 <3 <4 <5 <6 <7 <8 L Given: L // M <2 = 60° Prove: <7 = 60° M Statement Reason L // M <2 = 60° <2 = < 6 given corresponding angles postulate

<1 <2 <3 <4 <5 <6 <7 <8 L Given: L // M <2 = 60° Prove: <7 = 60° M Statement Reason L // M <2 = 60° <2 = < 6 <7 = <6 given corresponding angles postulate vertical angle theorem

<1 <2 <3 <4 <5 <6 <7 <8 L Given: L // M <2 = 60° Prove: <7 = 60° M Statement Reason L // M <2 = 60° <2 = < 6 <7 = <6 <2 = <7 given corresponding angles postulate vertical angle theorem substitution

<1 <2 <3 <4 <5 <6 <7 <8 L Given: L // M <2 = 60° Prove: <7 = 60° M Statement Reason L // M <2 = 60° <2 = < 6 <7 = <6 <2 = <7 <7 = 60° given corresponding angles postulate vertical angle theorem substitution

<1 <2 <3 <4 <5 <6 <7 <8 L Given: L // M <6 = 60° Prove: <4 = 120° M Statement Reason L // M <6 = 60° given

<1 <2 <3 <4 <5 <6 <7 <8 L Given: L // M <6 = 60° Prove: <4 = 120° M Statement Reason L // M <6 = 60° <2 = < 6 given corresponding angles postulate

<1 <2 <3 <4 <5 <6 <7 <8 L Given: L // M <6 = 60° Prove: <4 = 120° M Statement Reason L // M <6 = 60° <2 = < 6 <4 + <2 = 180° given corresponding angles postulate linear pair postulate

<1 <2 <3 <4 <5 <6 <7 <8 L Given: L // M <6 = 60° Prove: <4 = 120° M Statement Reason L // M <6 = 60° <2 = < 6 <4 + <2 = 180° <4 + <6 = 180° given corresponding angles postulate linear pair postulate substitution

<1 <2 <3 <4 <5 <6 <7 <8 L Given: L // M <6 = 60° Prove: <4 = 120° M Statement Reason L // M <6 = 60° <2 = < 6 <4 + <2 = 180° <4 + <6 = 180° <4 + 60° = 180° given corresponding angles postulate linear pair postulate substitution

<1 <2 <3 <4 <5 <6 <7 <8 L Given: L // M <6 = 60° Prove: <4 = 120° M Statement Reason L // M <6 = 60° <2 = < 6 <4 + <2 = 180° <4 + <6 = 180° <4 + 60° = 180° <4 = 120° given corresponding angles postulate linear pair postulate substitution subtraction property

<1 <2 <3 <4 <5 <6 <7 <8 L M Statement Reason L // M given Given: L // M Prove: <4 + <6 = 180°

<1 <2 <3 <4 <5 <6 <7 <8 L M Given: L // M Prove: <4 + <6 = 180° Statement Reason L // M <4 = <8 given corresponding angles postulate

<1 <2 <3 <4 <5 <6 <7 <8 L M Given: L // M Prove: <4 + <6 = 180° Statement Reason L // M <4 = <8 <6 + <8 = 180° given corresponding angles postulate linear pair postulate

<1 <2 <3 <4 <5 <6 <7 <8 L M Given: L // M Prove: <4 + <6 = 180° Statement Reason L // M <4 = <8 <6 + <8 = 180° <4 + <6 = 180° given corresponding angles postulate linear pair postulate substitution