Respuesta :

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Answer:

Opposite angles of parallelogram

Step-by-step explanation:

It is given that KLMN is a parallelogram, then by using the properties of the parallelogram, we know that the opposite angles of the parallelogram are equal, therefore in parallelogram KLMN, we have

∠N≅∠L and ∠M≅∠K (Because they are the opposite angle pair of the given parallelogram).

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Answer:

1.  Parallelogram KLMN  Given

2.  KL ∥ NM and KN ∥ LM  Definition of a parallelogram

3.  m∠K+m∠N=180°    Same-Side Interior Angles Theorem

 m∠L+m∠M=180°

m∠K+m∠L=180°

4. m∠K+m∠N=m∠K+m∠L   Substitution Property of Equality

 m∠L+m∠M=m∠K+m∠L

5. m∠N=m∠L     Subtraction Property of Equality

 m∠M=m∠K

6. ∠N≅∠L and ∠M≅∠K  Angle Congruence Postulate

Step-by-step explanation:

Verified correct with test results.

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