Solution:
#
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Statement
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Reason
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1
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<AOC = <DOB
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Given
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2
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<AOE = <1 + < 2
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Evident when looking at the diagram
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3
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<DOB = <2 + <3
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Evident when looking at the diagram
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4
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<AOE - <DOB = <1 + <2 – (<2 + <3)
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Combine #2 and #3 and simplify
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5
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0 = <1 - <3
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Combine #1 and #4 and simplify
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6
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<1 = <3
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Simplify #5
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