we know that
we know that
Vertical angles are congruent angles opposite each other where two lines cross
so
in this problem
m∠JNM=m∠KNL
so
substitute the values
[tex]4x+6=7x-21\\7x-4x=6+21\\3x=27\\x=27/3\\x=9\°[/tex]
Find the m∠JNM
[tex](4x+6)=(4*9+6)=42\°[/tex]
therefore
the answer is
The measure of angle JNM is [tex]42\°[/tex]
