Select the correct answer from each drop-down menu.
Given: Quadrilateral ABCD is a parallelogram with side CD extended to point E.
Prove: BAD is supplementary to ADC.
E
D
A
'
B
Complete the proof to show that consecutive angles of parallelograms are supplementary.
Statements
1. Quadrilateral ABCD is a parallelogram.
2. ZADC and ZADE are a linear pair.
3. ZADC is supplementary to ZADE.
4. m/ ADC + mZADE = 180°
4. AB || DC
Reasons
1. given
2. definition of linear pair
3. linear pair theorem
4. definition of supplementary
4. definition of parallelogram
5.
7. m/BAD + mZADE = 180°
8. m/ADC + m/BAD = 180°
9. ZBAD is supplementary to ZADC
5.
7.
8.
same-side exterior angles thearem
alternate exterior angles theorem
alternate interior angles theorem
same-side interior angles theorem
9. definition of supplementary