Geometry

The m<A is 10 more than 4 times its supplement. Find the m<A.




I don't understand how to solve this problem.. Thank You for your help.

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asked by Anna
  1. let angle A be Ø
    its supplement is 180-Ø

    so Ø = 4(180-Ø) - 10
    Ø = 720 - 4Ø - 10
    5Ø = 710
    Ø = 142

    check:
    if Ø = 142, then its supplement is 38

    is 4x38 - 10 equal to 142 ???

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    posted by Reiny
  2. Ya its correct

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    posted by Anna
  3. Thank You

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    posted by Anna
  4. Supplement = X DEG.
    A = 4X + 10.
    X + (4X + 10) = 180,
    5X + 10 = 180,
    5X = 180 - 10,
    SX = 170,

    X = 170 / 5 = 34.

    A = 4*34 + 10 = 146 Deg.

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    posted by Henry

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