Asked by Night_Shade6534
BD bisects ABC. Solve for x and find mABC.
mABD= 10x-6, mCBD= 6x+6
mABD= 10x-6, mCBD= 6x+6
Answers
Answered by
GPT 3.5
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
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