SOLUTION: The figure below is a rhombus. We know that the m<1 = 15x, m<2 = x + y, and m,3 = 30z What is the value of x and y?.

Algebra ->  Parallelograms -> SOLUTION: The figure below is a rhombus. We know that the m<1 = 15x, m<2 = x + y, and m,3 = 30z What is the value of x and y?.       Log On


   

Question 1106154: The figure below is a rhombus. We know that the m<1 = 15x, m<2 = x + y, and m,3 = 30z What is the value of x and y?.
Answer by ikleyn(53763) About Me  (Show Source):
You can put this solution on YOUR website!
.
There is NO the figure below, and you failed to inform us what these angles are.


        (Although you had the opportunity to do it by naming them as "opposite angles" or "adjacent angles").


In any case, the way to solve it is to use the following facts: 

    1.  The opposite angles of a rhombus are congruent;

    2.  The adjacent angles of a rhombus are supplementary, i.e. sum up to 180 degrees.

    3.  The sum of all internal angles of a rhombus is 360 degrees.