Given: ZABD and ZDBC are adjacent angles, MZABD = 45°, and mZDBC = 30° Select the reason that best supports Statement 5 in the given proof. Prove: MZABC = 75°

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.4: Basic Constructions Justified
Problem 38E
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Proofs
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Given: ZABD and ZDBC are adjacent angles,
Select the reason that best
MZABD = 45°, and mZDBC = 30°
supports Statement 5 in the
given proof.
Prove: MZABC = 75°
Statement:
Reason:
A. Given
1. Given
2. Angle
1. ZABD is adjacent to ZDBC
B. Distributive Property
2. MZABD + MZDBC = MZABC
Addition
C. Substitution
Postulate
D. Transitive Property
3. mZABD = 45°
3. Given
4. MZDBC = 30°
5. 45° + 30° = mZABC
4. Given
5. [ ? ]
6.75° = MABC
6. Arithmetic
7. Symmetric
Property
7. MZABC = 75°
Copyright 2003 - 2021 Acellus Corporation. All Rights Reserved.
Transcribed Image Text:Acellus - The Science of Learning x b admin247.acellus.com /StudentFunctions/Interface/acellus_engine.html?ClassID=151527904 klairty new tab M Compose Mail - klai. PicsArt / Editor Dayforce Proofs Acellus Given: ZABD and ZDBC are adjacent angles, Select the reason that best MZABD = 45°, and mZDBC = 30° supports Statement 5 in the given proof. Prove: MZABC = 75° Statement: Reason: A. Given 1. Given 2. Angle 1. ZABD is adjacent to ZDBC B. Distributive Property 2. MZABD + MZDBC = MZABC Addition C. Substitution Postulate D. Transitive Property 3. mZABD = 45° 3. Given 4. MZDBC = 30° 5. 45° + 30° = mZABC 4. Given 5. [ ? ] 6.75° = MABC 6. Arithmetic 7. Symmetric Property 7. MZABC = 75° Copyright 2003 - 2021 Acellus Corporation. All Rights Reserved.
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