Answer:
A
Step-by-step explanation:
according to tangent property
we get
Given that
Thus our equation is
[tex] \rm \displaystyle 2AM + 2AN + 2BK = 34[/tex]
substitute the given values
[tex] \rm \displaystyle 2.6+ 2AN+ 2.4 = 34[/tex]
simplify multiplication:
[tex] \rm \displaystyle 12+ 2AN+ 8 = 34[/tex]
simplify addition:
[tex] \rm \displaystyle 2AN+ 20= 34[/tex]
cancel 20 from both sides:
[tex] \rm \displaystyle 2AN=14[/tex]
divide both sides by 2:
[tex] \rm \displaystyle AN=7[/tex]
AN=CN
hence,CN=7
therefore our answer is A