Posted by **miles** on Tuesday, October 26, 2010 at 9:16pm.

the three angles of a triangle are 3x,x+10, and 2x-40. Find the size of the smallest angle in a triangle

- algebra -
**jai**, Tuesday, October 26, 2010 at 9:40pm
recall that the sum of the interior angles of any triangle is 180 degrees,, thus:

3x + (x+10) + (2x-40) = 180

6x - 30 = 180

6x = 210

x = 35

therefore, the angles are:

3x = 3(35) = 105

x+10 = 35+10 = 45

2x-40 = 2(35)-40 = 30

..and the smallest angle is 30 degrees

so there,, :)

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