B. Exterior Angle Inequality Theorem Given: Δ ΜΝΟ Prove: mLM + m²N = MLACB

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question
M
B. Exterior Angle Inequality Theorem
Given: Δ ΜΝΟ
Prove: mzM + m2N = M¿ACB
Statement
Reason
1. ΔΜΝΟ
1.
2. Angle Sum Theorem
(The sum of the measures of the interior angles of a
2
triangle is 180°.)
3. MZMON and M<M0P form a linear pair
3.
4. MZMON + M2M0P = 180°
4.
5.
5. Transitive Property, using the step 2 and 4
6. mLM + mZN = M²M0P
6.
Transcribed Image Text:M B. Exterior Angle Inequality Theorem Given: Δ ΜΝΟ Prove: mzM + m2N = M¿ACB Statement Reason 1. ΔΜΝΟ 1. 2. Angle Sum Theorem (The sum of the measures of the interior angles of a 2 triangle is 180°.) 3. MZMON and M<M0P form a linear pair 3. 4. MZMON + M2M0P = 180° 4. 5. 5. Transitive Property, using the step 2 and 4 6. mLM + mZN = M²M0P 6.
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