Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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In the proof below, what statement is needed in line 2 complete the proof? Given: AXY Z Prove: m/1+m22+ m23 = 180* W 4/1 2 Y 3 Statements Reasons 1. Through any point not on a line, there is exactly one line parallel to the given line. 1. Through point X, draw XW so that XW || YŹ 2. 2. Angle Addition Postulate 3. 22 4; 25 23 3. If parallel lines are cut by a transversal, then alternate interior angles are congruent. 4.m/2 = m4; m/5 = m23 4. Definition of congruent angles. 5. m/1+m22 + m/3 180 5. Substitution Property Sign SUS -> 女 @ #3 $ % & 4 7 8. W e r y u i S d f j k
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Transcribed Image Text:In the proof below, what statement is needed in line 2 complete the proof? Given: AXY Z Prove: m/1+m22+ m23 = 180* W 4/1 2 Y 3 Statements Reasons 1. Through any point not on a line, there is exactly one line parallel to the given line. 1. Through point X, draw XW so that XW || YŹ 2. 2. Angle Addition Postulate 3. 22 4; 25 23 3. If parallel lines are cut by a transversal, then alternate interior angles are congruent. 4.m/2 = m4; m/5 = m23 4. Definition of congruent angles. 5. m/1+m22 + m/3 180 5. Substitution Property Sign SUS -> 女 @ #3 $ % & 4 7 8. W e r y u i S d f j k
O m/1+ mZ2 = m/3 O m/4 + m/1+m/5 = 180° %3D O m24 + m/5 = mZ1 m22+ m23 = 90° -> #3 2$ %. 2 6.
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Transcribed Image Text:O m/1+ mZ2 = m/3 O m/4 + m/1+m/5 = 180° %3D O m24 + m/5 = mZ1 m22+ m23 = 90° -> #3 2$ %. 2 6.
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