If m angle k=68, find m angle l, m angle m, and m angle n

The correct answer option is C. m∠L = 112°, m∠M = 68°, m∠N = 112°.

Step-by-step explanation:

We are given a parallelogram KLMN and only one of its angles in known which is m∠K = 68° and we are to find the measure of the remaining three angles.

We know that the consecutive angles in a parallelogram are supplementary so the sum of m∠K + m∠L = 180.

m∠L = 180° - 68°

m∠L = 112°

Moreover, the opposite angles are congruent so if m∠K = 68° then m∠M = 68° and if m∠L = 112° then m∠N = 112°.