Given: line WXY, m<WXZ = 135°. Prove: m<ZXY = 45°

Question

Statements

1. line WXY
2. m<WXY = 180°
3. m<WXZ = 135°
4. m<WXY = m<WXZ + m<ZXY
5. 180° = 135° + m<ZXY
6. 45° = m<ZXY
7. m<ZXY = 45°

 

Reasons 

1. Given
2. Defintion of supplementary angles
3. Given
4.  
5. Substitution property
6.  
7. Symmetric Property

 

Proof: Fill in the reasons (2) for the given statements and explain why please.

Answer 1

4. "Angle addition"property of two adjacent angles.

 

6. By algebra (subtraction of same value from each side of an equation).