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12 June, 16:27

What is the missing statement in step 3 of the proof?

m1 = m2

m1 + m2 = 90°

m2 = m3

m2 + m3 = 180°

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Answers (1)
  1. 12 June, 18:50
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    Given that 1 is complementary to 2 and 2 is complementary to 3.

    The prove that m1 = m3 is given as follows:

    Statements Reasons

    <1 is comp. to <2 Given

    <2 is comp. to <3 Given

    m<1 + m<2 = 90° Defenition of complementary
    m<1 = 90° - m<2 Subtraction equality prop.

    m<2 + m<3 = 90° Definition of complementary
    m<3 = 90° - m<2 Subtraction equality prop.

    m<1 = m<3 Transitivity property

    Therefore, the missing statement in step 3 of the proof is m1 + m2 = 90°
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