# geometry

measure of angle ABC=4x-12
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**

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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

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2. x=15

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3. I guess

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4. ABX = 24, ABC = 48

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

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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

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