SV is an angle bisector of ∠RST. If m∠RSV = (2x + 8) ° and m∠RST = (6x - 26) °, find x.

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