Theorem: The sum of the measure of the angles of any triangle is 180°. Proof: Given: The top line (that touches the top of the triangle) is parallel to the base of the triangle. Prove: mz1+ mz3 + mz2 = 180° 5 1 2 A B Statements |Reason 1. mz4 = mz1 1. 2. mz5 = mz2 2. 3. Three angles form one side of the straight line 4. 3. 4. mz1 + mz3 +mz2 = 180°
Theorem: The sum of the measure of the angles of any triangle is 180°. Proof: Given: The top line (that touches the top of the triangle) is parallel to the base of the triangle. Prove: mz1+ mz3 + mz2 = 180° 5 1 2 A B Statements |Reason 1. mz4 = mz1 1. 2. mz5 = mz2 2. 3. Three angles form one side of the straight line 4. 3. 4. mz1 + mz3 +mz2 = 180°
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 48E
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Question
![Theorem: The sum of the measure of the angles of any triangle is 180°.
Proof:
Given: The top line (that touches the top of the triangle) is parallel to the base of the triangle.
Prove: mz1 + m3 + m2 = 180°
4
1
2
A
Statements
Reason
1. m24 = m/1
1.
2. m25 = mz2
2.
3.
3. Three angles form one side of the
straight line
|4.
4. mz1+ mz3 + m2 = 180°](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febfb7670-bdab-4fb0-93b9-83f0febfbc9c%2Ffb02439b-88c4-42ab-a73c-9392acf789d6%2Fpu5kmzf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Theorem: The sum of the measure of the angles of any triangle is 180°.
Proof:
Given: The top line (that touches the top of the triangle) is parallel to the base of the triangle.
Prove: mz1 + m3 + m2 = 180°
4
1
2
A
Statements
Reason
1. m24 = m/1
1.
2. m25 = mz2
2.
3.
3. Three angles form one side of the
straight line
|4.
4. mz1+ mz3 + m2 = 180°
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