Answer:
- ∠NJK = 50°
- x = 4
- ∠NKJ = 42°
Step-by-step explanation:
You want a couple of interior angles and the value of x given the parallelogram in the figure.
Angles
The diagonals of a parallelogram bisect each other, and divide the figure into two pairs of congruent triangles. Here, the congruent triangles of interest are ...
∆NKJ≅∆NML
In these triangles, that means ...
∠J ≅ ∠L = 50° = ∠NJK
∠K ≅ ∠M = 42° = ∠NKJ
Segments
The halves of diagonal JL are congruent, so we have ...
4x -3 = 13
4x = 16 . . . . . . . . add 3
x = 4 . . . . . . . . . divide by 4
