Question 78929
The key to this problem is to recognize that the sum of the angles of a triangle always add up to 180. So you can set up an equation like this:
{{{2x+3+3x+5+5x+2=180}}}
combine the like terms:
{{{10x+10=180}}}
solve for x:
{{{10x=170}}}
{{{x=17}}}
To find the measure of each angle, just plug x back into the equation of each angle. i will do one, you can do the other two:
{{{a=2x+3}}}
substitute in your value of x:
{{{a=2(17)+3}}}
{{{a=37}}}
Good Luck,
tutor_paul@yahoo.com