SOLUTION: Given that m<LKN = 145° Angle LKM = (2x+10) Angle MKN = 4x-3 May you please explain how to do this as i am having a hard time!

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Question 501872: Given that m Angle LKM = (2x+10) Angle MKN = 4x-3
May you please explain how to do this as i am having a hard time!

Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
It sounds as if angles LKM and MRN = LKN, which is 145 degrees.
2x + 10 + 4x - 3 = 145
6x + 7 = 145
6x = 138
x = 23
LKM = 2(23) + 10 = 56 degrees
MKN = 4(23) - 3 = 89 degrees
56 degrees + 89 degrees = 145 degrees.
This does check.
Cleomenius.