Question

1. zy ≅ wx 2. opp. sides of ▱ are ≅ 3. yx ≅ yx 3. reflexive 4. △zyx ≅ △wxy 4. sss ≅ thm. 5. ∠zyx ≅ ∠wxy 5. cpctc 6. m∠zyx ≅ m∠wxy 6. def. of ≅ 7. m∠zyx + m∠wxy = 180° 7.? 8. m∠zyx + m∠zyx = 180° 8. substitution 9. 2(m∠zyx) = 180° 9. simplification 10. m∠zyx = 90° 10. div. prop. of equality 11. wxyz is a rectangle 11. rectangle ∠ thm. what is the missing reason in step 7?

Explanation:

In a parallelogram, consecutive angles are supplementary, meaning they add up to 180 degrees. Since ∠ZYX and ∠WXY are consecutive angles in the parallelogram WXYZ, their sum is 180 degrees.

Answer:

Consecutive angles of a parallelogram are supplementary.