<PRE><B>Question 250433</B>
&lt;br&gt;Angles/250433 (2009-12-15 21:43:40): The measure of the angles of a certain triangle are consecutive even integers Find their measures please and thank you&lt;br&gt;

This is a word problem involving geometry.&lt;br&gt;

We know that a triangle has angles summing to 180 degrees.&lt;br&gt;

We know that three consecutive even integers can be set up as&lt;br&gt;

x, x+2, x+4&lt;br&gt;

Thus,&lt;br&gt;

{{{x+(x+2)+(x+4)=180}}} given&lt;br&gt;

{{{3x+6=180}}} simplify&lt;br&gt;

{{{3x=174}}} subtract 6 from both sides&lt;br&gt;

{{{x=58}}} divide by sides by 3 and find measure of smallest angle&lt;br&gt;

So the three angles are 58, 60, 62 which add up to 180!  Hope this helps!  :)&lt;br&gt;</PRE>