M B. Exterior Angle Inequality Theorem Given: ΔΜNΟ Prove: mZM + mZN = MZACB N Statement Reason 1. ΔΜΝΟ 1. 2. Angle Sum Theorem (The sum of the measures of the interior angles of a triangle is 180°.) 2 3. MLMON and M2M0P form a linear pair 3. 4. MZMON + m

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Kindly answer Statement nos. 2 & 5, and Reason nos. 1,3, and 6.

M
B. Exterior Angle Inequality Theorem
Given: Δ ΜΟ
Prove: mZM + mZN = MLACB
N
Statement
Reason
1. ΔΜΝ0
1.
2. Angle Sum Theorem
(The sum of the measures of the interior angles of a
triangle is 180°.)
2
3. MLMON and M2M0P form a linear pair
3.
4. MZMON + M2MOP = 180°
4.
5.
5. Transitive Property, using the step 2 and 4
6. m2M + mzN = M2MOP
6.
Transcribed Image Text:M B. Exterior Angle Inequality Theorem Given: Δ ΜΟ Prove: mZM + mZN = MLACB N Statement Reason 1. ΔΜΝ0 1. 2. Angle Sum Theorem (The sum of the measures of the interior angles of a triangle is 180°.) 2 3. MLMON and M2M0P form a linear pair 3. 4. MZMON + M2MOP = 180° 4. 5. 5. Transitive Property, using the step 2 and 4 6. m2M + mzN = M2MOP 6.
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