<PRE><B>Question 1209462</B>
&lt;br&gt;
Formally....&lt;br&gt;
Let x be the measure of the angle
Then 180-x is the measure of its supplement&lt;br&gt;
The angle measure is 68 degrees more than the measure of the supplement:&lt;br&gt;
x = (180-x)+68
x = 248-x
2x = 248
x = 124&lt;br&gt;
ANSWERS:
the angle: x = 124 degrees
the supplement: 180-x = 180-124 = 56 degrees&lt;br&gt;
Informally....&lt;br&gt;
The sum of the measures of an angle and its supplement is 180 degrees.&lt;br&gt;
That means the measures of the two angles differ from 90 degrees by equal amounts.&lt;br&gt;
Since in this problem the difference between the measurements of the two angles is 68 degrees, the measures of the two angles differ from 90 degrees by 68/2 = 34 degrees.&lt;br&gt;
So the measures of the two angles are 90+34 = 124 degrees and 90-34 = 56 degrees.&lt;br&gt;
ANSWERS: 124 degrees and 56 degrees&lt;br&gt;
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