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26 November, 10:16

Which of the following statements must be true about this diagram? Check all that apply.

A. m1 + m2 = m4

B. m1 + m2 = m3

C. m4 is greater than m2

D. m4 is greater than m1

E. m3 is greater than m2

F. m2 + m3 = m4

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Answers (1)
  1. 26 November, 10:20
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    By looking at the diagram:

    m3 = 180-m4

    sum of the angles = m1 + m2 + m3 = 180 degrees

    substituting the value of m3:

    m1 + m2 + (180 - m4) = 180

    m4 = 180 - m3

    m1 + m2 + (180 - m4) - (180-m4) = 180 - (180-m4)

    Hence:

    m1 + m2 = m4

    so the right answers after concluding from the above calculations is:

    A. m1 + m2 = m4

    C. m4 is greater than m2

    D. m4 is greater than m1
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