geometry

measure of angle ABC=4x-12
measure of angle ABX=24
BX bisects ABC
solve for X and find the measure of angle ABC
**page 48 # 11 of prentice hall,california geometry**

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  1. What's the problem?

    We know that ABX is half of ABC.
    So, since ABX = 24, ABC = 48

    48 = 4x-12
    60 = 4x
    x = 15

    Not too bad, eh?

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  2. x=15

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  3. I guess

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  4. ABX = 24, ABC = 48

    48 = 4x-12
    60 = 4x
    x = 15

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  5. To find X

    ABX=XBC so if ABX=24 so does XBC. Add both together to start.

    48=4x-12
    Add 12 on both sides to get X alone
    60=4x
    Divide by 4 to get X alone
    15=x

    To show your work for finding ABC-

    4(15)-12
    Multiply
    60-12
    Subtract
    ABC=48

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