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Bisect means "cut into two equal parts", so
2x-6 = x-5
solve for x
2x-6 = x-5
solve for x
Here, angle ABD and angle CBD together form angle ABC. So, we can write the equation:
(angle ABD) + (angle CBD) = (angle ABC)
Substituting the given angle measures:
(x - 5) + (2x - 6) = 180
Now, let's solve for x:
x - 5 + 2x - 6 = 180
3x - 11 = 180
3x = 180 + 11
3x = 191
x = 191/3
x β 63.67
Therefore, the value of x is approximately 63.67.