Algebra word problem

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  The measure of the angles of a triangle are three consecutive integers.  What are the measures of each angle?

Sep 4th, 2015

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 First off, we know that the angles of a triangle must add up to 180.

Therefore we can set up an equation, because we know we have three angles that are consecutive (consecutive means they come one right after the other, such as 1,2,3). 
Let x=the measure of the angle, then
x+(x+1)+(x+2) =180 .
Solve for x
x+x+x+1+2=180      *combine like terms*
3x+3=180                 *simplify*
3x=177                     *divide by three to both sides*

Therefore, one of our angles is 59.
Substitute in x=59 in (x+1)

Substitute x=59 in (x+2)

As a check
Add these three integers to make sure they add up to 180.

Therefore, our three angles are 59,60,and 61.

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Sep 4th, 2015

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