Question

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

Answer 1

x = 21

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