SOLUTION: Suppose that CAT and RAP are vertical angles, CAT= 6x-15, and ;RAP= 4x+6. Part A: Draw CAT and RAP. (Hint:CAT is an adjacent angle to CAR and RAP is an adjacent angle to TAP.)

Algebra ->  Angles -> SOLUTION: Suppose that CAT and RAP are vertical angles, CAT= 6x-15, and ;RAP= 4x+6. Part A: Draw CAT and RAP. (Hint:CAT is an adjacent angle to CAR and RAP is an adjacent angle to TAP.)       Log On


   

Question 1130180: Suppose that CAT and RAP are vertical angles, CAT= 6x-15, and ;RAP= 4x+6.
Part A: Draw CAT and RAP. (Hint:CAT is an adjacent angle to CAR and RAP is an adjacent angle to TAP.)
Part B: Determine the CAT and TAP.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Suppose that CAT and RAP+are vertical angles,
CAT=+6x-15, and
RAP=+4x%2B6
Part A: Draw CAT and RAP.




The angles opposite each other when two lines cross. They are always equal.
then, CAT=RAP
so, we have:
6x-15=4x%2B6
6x-4x=15%2B6
2x=21
x=21%2F2

=> CAT=+6x-15 => CAT=+6%2821%2F2%29-15 => CAT=+3%2A21-15+=> CAT=+48
=> RAP=48

Part B: Determine the CAT and TAP.
CAT=TAP are always equal (they are vertical angles)
CAT+%2B+TAP=360-%28+CAT%2BRAP%29...since CAT=TAP , we have
2CAT+=360-%28+48%2B48%29
2CAT+=360-96
2CAT+=264
CAT+=264%2F2
CAT+=132
=>TAP=132