need some help with theorems. and equations. Some one please help I don't want to die

Find the measures of the remaining angles of parallelogram KLMN. Justify each of the measures with a theorem.

Find the measures of the remaining side lengths of parallelogram KLMN. Justify each of the measures with a theorem.

Question

need some help with theorems. and equations.  Some one please help I don't want to die

Find the measures of the remaining angles of parallelogram KLMN. Justify each of the measures with a theorem.

Find the measures of the remaining side lengths of parallelogram KLMN. Justify each of the measures with a theorem.

keybox · Answer

In parallelogram KLMN, KN = 10, MN = 7 and m<K = 50°
KN and MN have lines on top.

keybox · Answer

attachment

keybox · Answer

@mathstudent55

p0sitr0n · Answer

use symmetry. opposite angles are isometric, adjacent angles add up to 180