Answer:
∠ ABC = 45° , ∠ DBC = 32°
Step-by-step explanation:
∠ ABC + ∠ DBC = ∠ ABD ( substitute values )
6x - 9 + 3x + 5 = 77
9x - 4 = 77 ( add 4 to both sides )
9x = 81 ( divide both sides by 9 )
x = 9
Then
∠ ABC = 6x - 9 = 6(9) - 9 = 54 - 9 = 45°
∠ DBC = 3x + 5 = 3(9) + 5 = 27 + 5 = 32°
