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We know that <5 and <7 are supplementary. <7 and <9 are also supplementary because it is (BLANK) area m<5 + m<7 = (BLANK) area and m< 7 + m<9 = (BLANK) area, by definition of supplementary angles. Then, m<5 + m<7 = m<7 + m<9 by the (BLANK) area. Subtract m<7 from each side and you get m<5 = m<9. Then by the definition of congruence, <5 ≅ (BLANK)
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We know that <5 and <7 are supplementary. <7 and <9 are also supplementary because it is a known fact that the sum of the measures of supplementary angles is equal to 180 degrees by definition of supplementary angles. Then, m<5 + m<7 = 180 degrees and m<7 + m<9 = 180 degrees, by definition of supplementary angles. By the Transitive Property, we can conclude that m<5 + m<7 = m<7 + m<9. Subtracting m<7 from each side, we get m<5 = m<9. Then, by the definition of congruence, <5 ≅ <9.
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