Question

I don’t understand stand this question someone please help me with work shown

Answer 1

∠ DBC = 60°

Explanation:

Since BD bisects ∠ ABC , then

∡ ABD = ∠ DBC , substitute values

4x = 2x + 30 ( subtract 2x from both sides )

2x = 30 ( divide both sides by 2 )

x = 15

Then

∠ DBC = 2x + 30 = 2(15) + 30 = 30 + 30 = 60°