In the proof below, what statement is needed in line 2 complete the proof?Given: AXY ZProve: m/1+m22+ m23 = 180*W4/12Y3StatementsReasons1. 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 || YŹ2.2. Angle Addition Postulate3. 22 4; 25 233. If parallel lines are cut by a transversal, then alternate interior angles are congruent.4.m/2 = m4; m/5 = m234. Definition of congruent angles.5. m/1+m22 + m/31805. Substitution PropertySignSUS->女@#3$%&478.WeryuiSdfjk O m/1+ mZ2 = m/3O m/4 + m/1+m/5 = 180°%3DO m24 + m/5= mZ1m22+ m23 = 90°->#32$%.26.

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In the proof below, what statement is needed in line 2 complete the prool? Given: AXYZ Prove: m/1 + m22+ m23 = 180 %3D W 4/1 2 3 Statements Reasons 1. Through point X, draw XW so that XW 1. Through any point not on a line, there is exactly one line parallel to the given line. 2. 2. Angle Addition Postulate 3. 22 24; 25 2 23 3. If parallel lines are cut by a transversal, then alternate interior angles are congruent. 4.m/2 m24; m25 4. Definition of congruent angles. m23 !! !! 5. m/1 +mz2+ m/3= 180 5. Substitution Property

In the proof below, what statement is needed in line 2 complete the prool? Given: AXYZ Prove: m/1 + m22+ m23 = 180 %3D W 4/1 2 3 Statements Reasons 1. Through point X, draw XW so that XW 1. Through any point not on a line, there is exactly one line parallel to the given line. 2. 2. Angle Addition Postulate 3. 22 24; 25 2 23 3. If parallel lines are cut by a transversal, then alternate interior angles are congruent. 4.m/2 m24; m25 4. Definition of congruent angles. m23 !! !! 5. m/1 +mz2+ m/3= 180 5. Substitution Property

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

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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