The measure of angle ABD (m∠ABD) is 104°
Calculating the measure of angles
From the question, we are to determine the measure of angle ABD
In the diagram,
∠ABC = ∠ABD + ∠DBC
Thus,
m∠ABC = m∠ABD + m∠DBC
From the given information,
m∠ABC = 140°
m∠DBC = 36°
∴ 140° = m∠ABD + 36°
m∠ABD = 140° - 36°
m∠ABD = 104°
Hence, the measure of angle ABD (m∠ABD) is 104°
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