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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+ 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°

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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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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