Answer:
The side lengths are 32 units each
Step-by-step explanation:
Given
[tex]NM= 4x[/tex]
[tex]KM = 6x - 16[/tex]
Required
The side lengths and missing angles
Since JKMN is as square, then:
[tex]NM = KM[/tex] -- all sides are equal
[tex]4x = 6x - 16[/tex]
Collect like terms
[tex]4x - 6x = - 16[/tex]
[tex]-2 x = - 16[/tex]
Divide by -2
[tex]x = 8[/tex]
Substitute [tex]x = 8[/tex] in [tex]NM= 4x[/tex]
[tex]NM = 4 * 8[/tex]
[tex]NM = 32[/tex]
The missing angles can't be solved without an attachment.
However, if the missing angles are the angles at the edges of the square, then they measure 90 degrees each (i.e. angles at right angle)
