Question

In the diagram, DC bisects

Answer 1

We are given that ∠BDA is bisected

this means that ∠BDC = ∠ADC

Finding x :

Since ∠BDC = ∠ADC:

7x - 19 = 9x - 37

2x = 18

x = 9

Finding ∠ADC:

We are given that ∠ADC = 9x - 37

now that we know that x = 9, replacing x:

∠ADC = 9(9)- 37

∠ADC = 44°