Answer:
Opposite angles of a parallelogram are congruent.
Step-by-step explanation:
Given:
KLMN is a parallelogram.
KN ║ LM and KL ║MN.
To prove:
∠N ≅ ∠L
∠M ≅ ∠K
Proof:
∠N ≅ ∠L since the opposite angles of a parallelogram are congruent.
∠M ≅ ∠K since the opposite angles of a parallelogram are congruent.
Answer: Parallelogram KLMN Given
KL¯¯¯¯¯∥NM¯¯¯¯¯¯¯ and Kn---------llLM Definition of parallelogram
m∠K+m∠N=180°
m∠L+m∠M=180°
m∠K+m∠L=180° Same-Side Interior Angles Theorem
m∠K+m∠N=m∠K+m∠L
m∠L+m∠M=m∠K+m∠L Substitution Property of Equality
m∠N=m∠L
m∠M=m∠K Subtraction Property of Equality
∠N≅∠L
and ∠M≅∠K
Angle Congruence Postulate
Step-by-step explanation:
I took the test and got a 100
