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The reason that best support the statement, 45 + 30 = m ∠ABC is Substitution.
What is adjacent angles?
Adjacent angles are two angles that have a common side and a common vertex.
Two adjacent angles can be supplementary or complementary based on the sum of the measures of the individual angles. Therefore,
∠ABD and ∠DBC are adjacent angles.
Therefore,
m ∠ABD + m ∠DBC = m ∠ABC
∠ABD = 45°
∠DBC = 30°
∠ABC = 75°
45 + 30 = m ∠ABC
The reason that best support the statement is substitution. This is because the value of ∠ABD and ∠DBC are substituted to get ∠ABC. T
learn more on adjacent angles here: https://brainly.com/question/26664800
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