A D 4, 3 1 2 В ppose that line AD is parallel to line CB. Notice that Z14 cause they are v. Also notice that v because they are Now notice at m24 + m23 + m25 = °. Finally using substitution we get 21+ m/2 + m/3 =D E.D.

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 30E: Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b,...
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Complete the proof of the Triangle Interior Angle Sum Theorem.
 
Complete the proof of the Triangle Interior Angle Sum Theorem.
А
D
4
3
1
C
В
Suppose that line AD is parallel to line CB. Notice that Z124 -
because they are
Also notice that
v because they are
Now notice
that m24 + mZ3 + m25 =
°. Finally using substitution we get
m/1 + m22 + m23 =
Q.E.D.
Transcribed Image Text:Complete the proof of the Triangle Interior Angle Sum Theorem. А D 4 3 1 C В Suppose that line AD is parallel to line CB. Notice that Z124 - because they are Also notice that v because they are Now notice that m24 + mZ3 + m25 = °. Finally using substitution we get m/1 + m22 + m23 = Q.E.D.
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