In the figure shown, AC || ED and point B lies on line segment AC. Which of the following would be a step in proving that the sum of the interior angles in ABDE is 180° ? O 43 because vertical angles are congruent. O mLE+ mL2 +mLD= 180° by substitution. %3D O LDELE because base angles of isosceles triangles are congruent. O3LE because alternate interior angles are congruent when two parallel lines are cut by a transversal. ,白白9圓)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.6: Segments Divided Proportionally
Problem 41E
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B
D.
In the figure shown, AC || ED and point B lies on line segment AC. Which of the following would be a
step in proving that the sum of the interior angles in A BDE is 180° ?
O LI 23 because vertical angles are congruent.
O mLE+ mZ2+ mZD = 180° by substitution.
O LDE LE because base angles of isosceles triangles are congruent.
O 23 LE because alternate interior angles are congruent when two parallel lines are cut by a
transversal.
on 7 of 60
Transcribed Image Text:B D. In the figure shown, AC || ED and point B lies on line segment AC. Which of the following would be a step in proving that the sum of the interior angles in A BDE is 180° ? O LI 23 because vertical angles are congruent. O mLE+ mZ2+ mZD = 180° by substitution. O LDE LE because base angles of isosceles triangles are congruent. O 23 LE because alternate interior angles are congruent when two parallel lines are cut by a transversal. on 7 of 60
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