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The measure of ∠ABD is (0.12x + 61)° and the measure of ∠CBD is (0.13x + 54)°. Find the value of x.

The measure of ∠ABD is (0.12x + 61)° and the measure of ∠CBD is (0.13x + 54)°. Find the value of x.

x =




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What is the capital of Egypt? ( Cairo )

1 Answer

  1. To find the value of ( x ) in the angles ( angle ABD ) and ( angle CBD ), we can start by setting up the equation based on the information given. Since the angles are adjacent and form a straight line, their sum should equal ( 180^circ ).

    Here are the steps:

    1. Set up the equation:

    [

    (0.12x + 61) + (0.13x + 54) = 180

    ]

    2. Combine like terms:

    [

    0.12x + 0.13x + 61 + 54 = 180

    ]

    [

    0.25x + 115 = 180

    ]

    3. Subtract ( 115 ) from both sides:

    [

    0.25x = 180 – 115

    ]

    [

    0.25x = 65

    ]

    4. Divide both sides by ( 0.25 ):

    [

    x = frac{65}{0.25}

    ]

    [

    x = 260

    ]

    The value of ( x ) is ( 260 ).

    Feel free to ask if you have further questions or need more help!

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