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27 December, 16:56

EFG and ∠GFH are a linear pair, m∠EFG 3n+23 , and m∠GFH 4n+17. What are m∠EFG and m∠ GFH?

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  1. 27 December, 16:58
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    M∠EFG = 3n + 23

    m∠GFH = 4n + 17

    m∠EFG + m∠GFH = 180

    (3n + 23) + (4n + 17) = 180

    (3n + 4n) + (23 + 17) = 180

    7n + 40 = 180

    - 40 - 40

    7n = 140

    7 7

    n = 20

    m∠EFG = 3n + 23

    m∠EFG = 3 (20) + 23

    m∠EFG = 60 + 23

    m∠EFG = 83

    m∠GFH = 4n + 17

    m∠GFH = 4 (20) + 17

    m∠GFH = 80 + 17

    m∠GFH = 97
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