UX bisects ZWUY and ZVXZ. Complete the proof that XY WX. w
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Z
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Statement
Reason
1
UX bisects ZWUY
Given
2
UX bisects ZVXZ
Given
3
ZYXZ ZVXW
Vertical Angle Theorem
4
ZUXZ ZUXV
Definition of angle bisector
5
ZXUY EZWUX
Definition of angle bisector
6
mZUXY = m LUXZ + m2 YXZ
Additive Property of Angle Measure
7
mZUXW = m LUXV + m2 VXW
Additive Property of Angle Measure
8
MZUXY = m LUXV + m2VXW
Substitution
9
mZUXW = m ZUXY
Transitive Property of Equality