Why is the first line in the two column proof incorrect? Given: 41 and 42 are complementary, and 22 and 23 are complementary. Prove: 4123 1 3 1. m/1 + m2 = 90° m/2+m/3 = 90° Statements 2. m/1 + m2 = m/2+mZ3 = 3. m/1 m/3 4.41 43 a. Given Complementary angles add to 180 degrees. Reasons b. Substitution c. Subtraction Property of Equality d. Definition of Congruence Statement 1 is not the given information. O The sum of angles 1 and 2 is not 90 degrees. The sum of angles 2 and 3 is not 90 degrees. Reason a. should be the Angle Addition Postulate.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 3E
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Why is the first line in the two column proof incorrect?
Given: 41 and 42 are complementary, and 22 and 23 are complementary.
Prove: 2143
1
3
ہے
1. m/1 + m/2 = 90°
m/2+m/3 = 90°
=
Statements
2. m/1 + m/2 = m/2 + m23
3. m/1 m/3
4. 21 43
a. Given
Reasons
b. Substitution
c. Subtraction Property of
Equality
d. Definition of Congruence
Statement 1 is not the given information.
The sum of angles 1 and 2 is not 90 degrees. The sum of angles 2 and 3 is not 90 degrees.
Reason a. should be the Angle Addition Postulate.
Complementary angles add to 180 degrees.
Transcribed Image Text:Why is the first line in the two column proof incorrect? Given: 41 and 42 are complementary, and 22 and 23 are complementary. Prove: 2143 1 3 ہے 1. m/1 + m/2 = 90° m/2+m/3 = 90° = Statements 2. m/1 + m/2 = m/2 + m23 3. m/1 m/3 4. 21 43 a. Given Reasons b. Substitution c. Subtraction Property of Equality d. Definition of Congruence Statement 1 is not the given information. The sum of angles 1 and 2 is not 90 degrees. The sum of angles 2 and 3 is not 90 degrees. Reason a. should be the Angle Addition Postulate. Complementary angles add to 180 degrees.
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