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

Given mZWOZ 90 mZOB 45 Prove mAOW 45 What evidence in the proof supports the statement that 45mZAOW 90 7 Statements 1 mWOZ 90 2 mZOB 45 3 LZOB ZXOA 4 mXOA 45 5 class=