Question

postulate 4 angle addition postulate if point d is in the interior of ∠abc, then m∠abd + m∠dbc = m∠abc. if... then...m∠abd - m∠dbc = m∠abc 45 + 62 = 107

Explanation:

Step1: Recall angle - addition postulate

The angle - addition postulate states that if point $D$ is in the interior of $\angle ABC$, then $m\angle ABD + m\angle DBC=m\angle ABC$.

Step2: Analyze the incorrect statement

The statement $m\angle ABD - m\angle DBC = m\angle ABC$ is incorrect according to the angle - addition postulate.

Answer:

The statement $m\angle ABD - m\angle DBC = m\angle ABC$ is false as per the Angle Addition Postulate which states $m\angle ABD + m\angle DBC=m\angle ABC$.