Answer:
∠ABD = 20°
Explanation:
Since BD is the angle bisector of ∠ABC then
∠ABD = ∠DBC ← substitute values
3x - 1 = 34 - 2x ( add 2x to both sides )
5x - 1 = 34 ( add 1 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7
Hence
∠ABD = 3x - 1 = (3 × 7) - 1 = 21 - 1 = 20°