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16 January, 10:17

BD bisects angle ABC, measure of angle ABC=5x-4, and measure of angle CBD=2x+10. Angle ABC is a (n) _ angle

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  1. 16 January, 10:28
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    Since BD bisects ABC, CBD is half of ABC. Therefore, 2x+10 = (5x-4) / 2. We solve for x.

    Multiplying by 2, we have:

    4x+20=5x-4

    Adding 4 and subtracting 4x, we see that:

    x=24

    Now, we substitute this in for x to find the value of ABC. We have:

    5 * (24) - 4

    120-4

    116

    Therefore, 116 is the value of angle ABC. Since 116 is greater than 90, ABC is an obtuse angle.
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