Multiplicative Identity 2

Commutative Property Variation 1

Substitution 2

Distributive Property 4

Multiplicative Property of Equality Variation 1

Addition Theorem

Transitive Property of Equality Variation 2

Transitive Property of Equality Variation 1

Divide Both Sides

Multiplicative Property of Equality Variation 2

Transitive Property of Equality Variation 3

Division is Commutative

Associative Property

Divide Each Side

Divide 180 by 2 2

One Eighty 4

Proof: Divide 180 by 2 2

Let's prove the following theorem:

if a ⋅ 2 = 180, then a = 90

Proof:

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Given

1	a ⋅ 2 = 180

Proof Table

#	Claim	Reason
1	a = 180 / 2	if a ⋅ 2 = 180, then a = 180 / 2 (Divide Each Side)
2	180 / 2 = 90	180 / 2 = 90 (Fixed Value Statement)
3	a = 90	if a = 180 / 2 and 180 / 2 = 90, then a = 90 (Transitive Property of Equality)

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