Quadrilateral jklm is a rhombus. the diagonals intersect at n. if angle jnk equals 5x - 15, find the value of x.

One property of a rhombus is that the diagonals are perpendicular. This means that the diagonals intersect at 90 degree angles (right angles).

So we know that angle JNK is 90 degrees

angle JNK = 90 degrees
5x - 15 = 90
5x - 15 + 15 = 90+15
5x = 105
5x/5 = 105/5
x = 21

x = 21

5\16 x 2\5 = 10/80simplify to 1/80