STATEMENTS REASONS

2 3 Given

m2 = m2 Definition of ’s

1 & 2 are supplementary Linear Pair Theorem

m1 + m2 = 180 Definition of Supplementary ’s

m1 + m3 = 180 Substitution

1 & 2 are supplementary Definition of Supplementary ’s

Group 1

Given: 2 3

Prove: 1 & 2 are supplementary

12

3

STATEMENTS REASONS

mA = 60, mB=m2A Given

mB=2(60) Substitution

mB=120 Simplify

mA + mB = 60 + 120 Addition Property of Equality

mA + mB = 180 Simplify

A & B are supplementary Definition of Supplementary ’s

Group 2

Given: mA = 60, mB=m2A

Prove: A & B are supplementary

A B

STATEMENTS REASONS

1 & 2 are supplementary Given

1 3 Given

m1 + m2 = 180 Definition of Supplementary ’s

m1 = m3 Definition of ’s

m3 + m2 = 180 Substitution

2 & 3 are supplementary Definition of Supplementary ’s

Group 3

Given: 1 & 2 are supplementary1 3

Prove: 2 & 3 are supplementary

1

2

3

STATEMENTS REASONS

1 & 2 are supplementary2 & 3 are supplementary

Given

m1 + m2 = 180m2 + m3 = 180

Definition of Supplementary ’s

m1 + m2 = m2 + m3 Substitution

m2 = m2 Reflexive Property

m1 = m3 Subtraction Property of Equality

1 3 Definition of ’s

Group 4

Given: 1 & 2 are supplementary2 & 3 are supplementary

Prove:1 3

1

2

3

STATEMENTS REASONS

1 & 2 are complementary2 & 3 are complementary

Given

m1 + m2 = 90m2 + m3 = 90

Definition of Complementary ’s

m1 + m2 = m2 + m3 Substitution

m2 = m2 Reflexive Property

m1 = m3 Subtraction Property of Equality

1 3 Definition of ’s

Group 5

Given:1 & 2 are complementary2 & 3 are complementary

Prove:1 3

1

23