Quadrilateral JKLM is a rhombus. The diagonals intersect at N. If angle JNK equals 5x - 15, find the value of x.

Question

v-sync · Answer

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phi · Answer

do you know the properties of a rhombus ? see http://www.coolmath.com/reference/rhombus scroll down to where they write about the diagonals what does it say about the angles formed by the diagonals?

will.h · Answer

The intersection of the diagonals of a rhombus form 90 degree (right) angles.  This means that they are perpendicular.

The diagonals of a rhombus bisect each other.  This means that they cut each other in half.

will.h · Answer

So therefor angle JNK is equal to5x-15
and the measure would be 90 degree angle which give us the following equation
5x - 15 = 90
Solve for x

kevin · Answer

Two diagonals of rhombus that intersect created 90 degree

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So you can use formula 5x - 15 = 90 as @Will.H said :)