Answer:
x=12
Step-by-step explanation:
Line SV is an angle bisector of angle RST
<RSV = <VST
Both angles are equal
m<RSV = (3x+5)
<RSV = <VST, so m<VST = (3x+5), m<RST= 8x-14
m<RST= m<RSV +m<VST
[tex]8x-14= 3x+5+3x+5[/tex]
Combine like terms and solve for x
[tex]8x-14= 6x+10[/tex]
Subtract 6x from both sides
[tex]2x-14=10[/tex]
Add 14 on both sides
[tex]2x=24[/tex]
Divide both sides by 2
x=12
