Question

What are the lengths of sides KN and NM of the kite? KN = units NM = units

Answer 1

Y+10= 2y+5
10=y+5
5=y

Plug this in
(5)+10=15 for KN


2x+6=3x-1
6=x-1
7=x

Plug this value in
2(7)+6
14+6= 20 for NM

Answer 2

Answer-

$\boxed{\boxed{KN=15\ units,\ NM=20\ units}}$

Solution-

As given in the graph,

$KN=KL,\ and\ MN=ML$

And,

$KN=y+10\\\\KL=2y+5\\\\MN=2x+6\\\\ML=3x-1$

Then,

$\Rightarrow y+10=2y+5$

$\Rightarrow 2y-y=10-5$

$\Rightarrow y=5$

And,

$\Rightarrow 2x+6=3x-1$

$\Rightarrow 3x-2x=6+1$

$\Rightarrow x=7$

Therefore,

$KN=y+10=5+10=15\ units$

$NM=2x+6=2\cdot 7+6=14+6=20\ units$