Question

If m∠ABD = 77°, what are m∠ABC and m∠DBC?

Please help me with this asap.

Answer 1

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°