<PRE><B>Question 357600</B>
Let the angle be x.&lt;br&gt;

The complement of an angle x is 90-x since an angle plus its complement is 90 degrees.&lt;br&gt;

The supplement of an angle x is 180-x since an angle plus its supplement is 180 degrees.&lt;br&gt;

Therefore, we are given&lt;br&gt;

{{{(180-x)=4(90-x)}}}&lt;br&gt;

{{{180-x=360-4x}}}&lt;br&gt;

{{{3x=180}}}&lt;br&gt;

{{{x=60}}}&lt;br&gt;

&lt;b&gt;Thus, the measure of the angle we are looking for is 60 degrees.&lt;/b&gt;&lt;br&gt;

I hope this helps!&lt;br&gt;</PRE>