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Given: ZABD and Z DBC are adjacent angles,
mZABD - 45°, and m 2 DBC - 30°
Prove: m ZABC = 75°
Select the reason that best
supports Statement 5 in the
given proof.
A Given
B. Distributive Property
C. Substitution
Statement:
Reason:
1. ZABD is adjacent to ZDBC 1. Given
2. m ZABD + m2DBC - ZABC 2. Angle
Addition
Postulate
3. m ZABD - 450
3. Given
4. m 2DBC - 30°
4. Given
5.45° -30° - m ZABC 5.[?]
6.75° - m ABC
6. Arithmetic
7. m ZABC - 75
7. Symmetric
Property
D. Transitive Property

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rtfjhgf565 rtfjhgf565 · Answer 1 · 2022-02-01T19:36:54+01:00

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vintechnology vintechnology · Answer 2 · 2022-04-11T17:57:53+02:00

The reason that best support the statement, 45 + 30 = m ∠ABC is Substitution.

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