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

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

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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Question

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.

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