Question

Math help 20 points

Answer 1

$4)\\\\LM=KN\\\\\text{Therefore we have the equation}\\\\2x-6=x+3\qquad\text{add 6 to both sides}\\\\2x=x+9\qquad\text{subtract x from both sides}\\\\\boxed{x=9}\\\\LM=2x-6\Rightarrow LM=2(9)-6=18-6=12\\\\Answer:\ \boxed{LM=12}$

$5)\\\\m\angle F+m\angle U=180^o\\\\\text{Therefore we have the equation:}\\\\12x-6+11x+2=180\\\\23x-4=180\qquad\text{add 4 to both sides}\\\\23x=184\qquad\text{divide both sides by 23}\\\\\boxed{x=8}\\\\\angle V\cong\angle F\Rightarrow m\angle V=m\angle F\\\\m\angle V=12x-6\Rightarrow m\angle V=12(8)-6=96-6=90\\\\Answer:\ \boxed{m\angle V=90^o}$