measure of angle ABC=4x-12

Question

measure of angle ABX=24
BX bisects ABC
solve for X and find the measure of angle ABC
**page 48 # 11 of prentice hall,california geometry**

Answer 1

What's the problem?

We know that ABX is half of ABC.
So, since ABX = 24, ABC = 48

48 = 4x-12
60 = 4x
x = 15

Not too bad, eh?

Answer 2

x=15

Answer 3

I guess

Answer 4

ABX = 24, ABC = 48

48 = 4x-12
60 = 4x
x = 15

Answer 5

To find X

ABX=XBC so if ABX=24 so does XBC. Add both together to start.

48=4x-12
Add 12 on both sides to get X alone
60=4x
Divide by 4 to get X alone
15=x

To show your work for finding ABC-

4(15)-12
Multiply
60-12
Subtract
ABC=48