<PRE><B>Question 1013939</B>
In a parallelogram, consecutive angles are supplementary.  They add to 180.&lt;P&gt;
Let&#39;s call these consecutive angles x and y.  Let x be the larger angle.  We know two relationships between them:&lt;P&gt;
x + y = 180 and x-y = 72&lt;P&gt;
x-y = 72 ---&gt; x = 72 + y:  substitute this x value into the first equation.&lt;P&gt;
72+y + y = 180&lt;P&gt;
2y = 108&lt;P&gt;
y = 54&lt;P&gt;
x = 72 + y = 72 + 54 = 126&lt;P&gt;
In a parallelogram opposite angles are congruent.  So there are two angles that are 54 degrees, y and the angle opposite it, and there are two angles that are 126 degrees, x and the angle opposite it.
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