Question

It is known that ray AP bisects angle cat. If angle cat=5x+17 and angle pat=3x-4, then determine the value of x

Answer 1

Answer:

x = 25°

Step-by-step explanation:

If  ray AP bisects angle cat, this means that <CAP + <PAT = <CAT and <CAP = < PAT

Since <CAP + <PAT = <CAT

<PAT + <PAT = <CAT

2<PAT = <CAT

Substitute the given function into the equation

2(3x-4) = 5x+17

6x-8 = 5x+17

collect like terms

6x-5x = 17+8

x = 25°

Hence the value of x is 25°