Answer:
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Angles ABD and DBC form a linear pair, hence their sum is 180°.
Set up an equation and solve for x:
- 3x + 22 + x - 4 = 180
- 4x + 18 = 180
- 4x = 162
- x = 40.5
Substitute 40.5 for x and find the measure of ∠DBC:
- m∠DBC = 40.5 - 4
- m∠DBC = 36.5