Question

Point D i ain’t the interior of ABC . what is m/ DBC

Answer 1

• 36.5°

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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