SOLUTION: IF angle KNL = 10y-12, and angle JNM = 8y+4 Then Find Y. Find the measure of angle JNK. .__ K ___________ ________J. ____. ___________ _____. _______. ___________. ________

SOLUTION: IF angle KNL = 10y-12, and angle JNM = 8y+4 Then Find Y. Find the measure of angle JNK. . K _ J. . _ _. _. _. ___

Question 355186: IF angle KNL = 10y-12, and angle JNM = 8y+4
Then
Find Y.
Find the measure of angle JNK.
.__ K ____________________J.
____. _________________.
_______. ___________.
_________.___N____.
____________. .__
_________.________.
_______._______________.
____L .___________________.M
Answer by Edwin McCravy(20081) (Show Source): You can put this solution on YOUR website!



Angles KNL and JNM are vertical angles so they are equal so

     10y - 12 = 8y + 4
           2y = 16
            y = 8

So angle KNL = 10y - 12 = 10(8) - 12 = 80 - 12 = 68�

and, as a check

Angle JNM = 8y + 4 = 8(8) + 4 = 64 + 4 = 68�

-----------------

So now we have  



and we want to find the angle JNK indicated by the green arc.

Angle KNL and angle JNK are supplementary, so 

Angle JNK  = 180� - Angle KNL

So

Angle JNK = 180� - 68� = 112�



Edwin

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SOLUTION: IF angle KNL = 10y-12, and angle JNM = 8y+4 Then Find Y. Find the measure of angle JNK. .__ K ___________ ________J. ____. ___________ _____. _______. ___________. _________

SOLUTION: IF angle KNL = 10y-12, and angle JNM = 8y+4 Then Find Y. Find the measure of angle JNK. . K _ J. . _ _. _. _. ___