Answer:
m∠KNM = 100°
Step-by-step explanation:
Because this is a parallelogram, we know that lines KL and MN are parallel, as are lines NK and LM. So, we can use the Opposite Interior Angles Theorem to identify m∠KNM.
The Opposite Interior Angles Theorem states that, when two parallel lines are intersected by a transversal, their opposite interior angles are congruent. The interior angle that is opposite ∠KLM is ∠KNM. Therefore they must have equal measures.
Since m∠KLM = 100°, m∠KNM must also equal 100°.
