Given: mZWOZ = 90
m/ZOB = 45
Prove: mAOW = 45
What evidence in the proof supports the statement that
45-mZAOW = 90°?
7.
Statements
1. m/WOZ = 90
2. m/ZOB = 45°
3. LZOB ZXOA
4 m/XOA = 45
5. ZXOW+ZWOZ = 180°
6. m/XOW= 90°
O
9. mZAOW= 45°
m/XOA+m_AOW = m_XOW
8.45°-mZAOW = 90°
Reasons
1. given
2. given
3. vertical angle theorem
4. definition of congruence
5. linear pair theorem
6. subtraction property of
equality
7. angle addition postulate
8. substitution property of
equality
9. subtraction property of
equality
W
