What relationship exist between angle N and K if the given: KLMN is a parallelogram?
2 answers:
Answer: The sum of angles N and K is 180°.
Step-by-step explanation: As given in the question, the parallelogram KLMN is shown i the attached figure below.
We are given to find the relationship between angles N and K.
<u>PARALLELOGRAM:</u> A quadrilateral where the opposite sides are parallel and equal and opposite angles are equal.
Since KLMN is a parallelogram, so the side KL will be parallel to the side MN.
We know that if two parallel lines are cut by a transversal, then the sum of interior angles on one side of the transversal is 180°.
In parallelogram KLMN, KL is parallel to MN and they are cut by the transversal KN, so angles N and K lies on the same side of the transversal.
Hence, their sum must be 180°.
Thus, the required relationship is ∠N + ∠k = 180°.
You might be interested in