Answer:
∠ABC = 32
∠DBC = 42
Step-by-step explanation:
∠ABD = ∠ABC + ∠DBC
74 = 5x - 3 + 5x + 7
= 5x + 5x + 7 - 3
74 = 10x + 4
74 - 4 = 10x
70 = 10x
x = 70 / 10
x = 7
∠ABC = 5x - 3
= 5 ( 7 ) - 3
= 35 - 3
∠ABC = 32
∠ABD = ∠ABC + ∠DBC
∠DBC = ∠ABD - ∠ABC
= 74 - 32
∠DBC = 42