SOLUTION: PLEASE HELP!!!! Quadrilateral JKLM is a rhombus. If angle LMK=36, find angle KJM. I must show my work and I don't know how to do this. PLEASE HELP!!!! Thanks

Question 166172: PLEASE HELP!!!!
Quadrilateral JKLM is a rhombus. If angle LMK=36, find angle KJM.
I must show my work and I don't know how to do this. PLEASE HELP!!!!
Thanks

Answer by MRperkins(300) (Show Source): You can put this solution on YOUR website!
A rhombus is a quadrilateral with four congruent sides.
If a quadrilateral is a rhombus, then it is a parallelogram.
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If a parallelogram is a rhombus, then its diagonals are perpendicular.
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If a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles.
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So, show these properties on your rhombus and you will see that angle LMK is congruent to JMK (because it is being bisected).
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Now you just need to set up the equation to find the third angle for the small triangle: 36+36+x=180 or 72+x=180 or x=108 degrees.
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Hope this helps. If you need a better explanation just email me: justin.sheppard.tech@hotmail.com
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I will try to get a pdf file of this on my website so you can see it but I won't be able to do that for a couple of hours.

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