Answer:
∠ ABD = 124°
Step-by-step explanation:
A linear pair of angles sum to 180°, thus
∠ ABD + ∠ CBD = 180 , substitute values
3x + 31 + 2x - 6 = 180, that is
5x + 25 = 180 ( subtract 25 from both sides )
5x = 155 ( divide both sides by 5 )
x = 31
Thus
∠ ABD = 3x + 31 = 3(31) + 31 = 93 + 31 = 124°
