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Since the two angles are supplementary, their measures add up to 180 degrees.
Given that m∠ABC = 15°, we can find the measure of angle CBD using the equation:
m∠ABC + m∠CBD = 180°
Substituting the given values:
15° + x° = 180°
We can solve this equation to find the value of x:
x° = 180° - 15°
x° = 165°
Therefore, the value of m∠CBD is 165°.