Question

Given JKMN is a square and NM= 4x and KM = 6x - 16, find all missing angle measures and side lengths.

Answer 1

The side lengths are 32 units each

Explanation:

Given

`NM= 4x`

`KM = 6x - 16`

Required

The side lengths and missing angles

Since JKMN is as square, then:

`NM = KM` -- all sides are equal

`4x = 6x - 16`

Collect like terms

`4x - 6x = - 16`

`-2 x = - 16`

Divide by -2

`x = 8`

Substitute
`x = 8` in
`NM= 4x`

`NM = 4 * 8`

`NM = 32`

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)