BD bisects ABC. Solve for x and find mABC.

mABD= 10x-6, mCBD= 6x+6

1 answer

Since BD bisects ABC, mABD = mCBD. Therefore, we can equate the two expressions:

10x - 6 = 6x + 6

Simplifying the equation:

4x = 12

Dividing both sides by 4:

x = 3

To find mABC, substitute x = 3 into either mABD or mCBD:

mABD = 10(3) - 6 = 30 - 6 = 24

Therefore, mABC = 2mABD = 2(24) = 48