SOLUTION: The measure of the angles of a certain triangle are consecutive even integers Find their measures please and thank you

Algebra ->  Angles -> SOLUTION: The measure of the angles of a certain triangle are consecutive even integers Find their measures please and thank you      Log On


   

Question 250433: The measure of the angles of a certain triangle are consecutive even integers Find their measures please and thank you
Answer by chosenpoint(26) About Me  (Show Source):
You can put this solution on YOUR website!

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

This is a word problem involving geometry.

We know that a triangle has angles summing to 180 degrees.

We know that three consecutive even integers can be set up as

x, x+2, x+4

Thus,

x%2B%28x%2B2%29%2B%28x%2B4%29=180 given

3x%2B6=180 simplify

3x=174 subtract 6 from both sides

x=58 divide by sides by 3 and find measure of smallest angle

So the three angles are 58, 60, 62 which add up to 180! Hope this helps! :)