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Suppose we decide to work in Euclidean Geometry in the plane. What do we know about angle ACD relative to the angles at A and B, e.g., what can be said about an exterior angle relative to its opposite interior angles? How do you know so? (In other words, informally justify your claim.) Let AABC be given, and suppose D is a point on BC such that B - C - D. Then ZACD is called an exterior angle of the given triangle. The angles at A and B of AABC are called opposite interior angles of LACD. EXTERIOR ANGLE OF A TRIANGLE Figure 3.27

Suppose we decide to work in Euclidean Geometry in the plane. What do we know about angle ACD relative to the angles at A and B, e.g., what can be said about an exterior angle relative to its opposite interior angles? How do you know so? (In other words, informally justify your claim.) Let AABC be given, and suppose D is a point on BC such that B - C - D. Then ZACD is called an exterior angle of the given triangle. The angles at A and B of AABC are called opposite interior angles of LACD. EXTERIOR ANGLE OF A TRIANGLE Figure 3.27

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Suppose we decide to work in Euclidean Geometry in the plane. What do we know about angle ACD relative to the angles at A and B, e.g., what can be said about an exterior angle relative to its opposite interior angles? How do you know so? (In other words, informally justify your claim.) Let AABC be given, and suppose D is a point on BC such that B - C - D. Then LACD is called an exterior angle of the given triangle. The angles at A and B of AABC are called opposite interior angles of ZACD. ( EXTERIOR ANGLE OF A TRIANGLE Figure 3.27
Transcribed Image Text:Suppose we decide to work in Euclidean Geometry in the plane. What do we know about angle ACD relative to the angles at A and B, e.g., what can be said about an exterior angle relative to its opposite interior angles? How do you know so? (In other words, informally justify your claim.) Let AABC be given, and suppose D is a point on BC such that B - C - D. Then LACD is called an exterior angle of the given triangle. The angles at A and B of AABC are called opposite interior angles of ZACD. ( EXTERIOR ANGLE OF A TRIANGLE Figure 3.27
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Let the given triangle is ∆ABC, where ∠ACD is called an exterior angle and the angles A and B are called opposite interior angles. we have to find a relation between the  exterior angle and the opposite interior angles.

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