Answer:
6
58
Step-by-step explanation:
The diagonals of a rectangle are congruent and bisect each other.
JL = 2JN
5x + 18 = 2(3x + 6)
5x + 18 = 6x + 12
6 = x
x = 6
NL = NK
That makes triangle KNL an isosceles triangle with congruent sides NK and NL. Opposite angles of congruent sides are congruent.
m<NKL = m<NLK
Angles NLM and NLK are complementary.
m<NLM + m<NLK = 90
32 + m<NLK = 90
m<NLK = 58
m<NKL = m<NLK = 58
