Answer:
x = 21
Step-by-step explanation:
Given that SV is the angle bisector of ∠RST, then
∠RSV = ∠TSV, thus
∠RSV + ∠TSV = ∠RST ← substitute values
2x + 8 + 2x + 8 = 6x - 26, that is
4x + 16 = 6x - 26 ( subtract 6x from both sides )
- 2x + 16 = - 26 ( subtract 16 from both sides )
- 2x = - 42 ( divide both sides by - 2 )
x = 21
