BD bisects angle abc so that m angle abd is x-5 and m angle cbd is 2x-6. find the value of X
Bisect means "cut into two equal parts", so
2x-6 = x-5
solve for x
To find the value of x, we can use the fact that the sum of the angle measures in any triangle is always 180 degrees.
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 ≈ 63.67
Therefore, the value of x is approximately 63.67.