SV is an angle bisector of ∠RST. If m∠RSV = (3x + 5) ° and m∠RST = (8x - 14) °, find x.

An angle bisector divides the angle into two angles with equal measures

∠RSV=∠VST = (3x + 5) °

∠RST=∠RSV+∠VST

∠RST = (8x - 14) °

(3x + 5) ° + (3x + 5) ° = (8x - 14) °3x+3x+5+5=8x-14

6x+10=8x-14

8x-6x = 10+14

2x=24

x=24/2

x=12