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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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°
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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