Question 145350: In Quadrilateral JKLM is a rhombus. If m angle LMK =36, find M angle KJM????
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website! There is no answer the way you have named the angles. When you use three points to name an angle, the convention is that vertex point be in the middle of the three point designation. No matter how you arrange the names of the points, J, K, L, and M, you cannot simultaneously have an angle LMK and KJM. So, you need to figure out where the naming error lies. But I will tell you this: The sum of the interior angles of any quadrilateral is 360. In a rhombus, or any other parallelogram for that matter, angles opposite each other are equal, and angles adjacent to each other are supplementary, that is the sum of their measures is 180. So if the angle whose measure you seek is opposite the 36 degree angle, it must also be 36. Otherwise it is 180 - 36.
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