SOLUTION: I really need some one to explain how to do this question . The three angles of a triangle are 3x, x + 10, and 2x - 40. Find the size of the smallest angle in the triangle?

Algebra ->  Triangles -> SOLUTION: I really need some one to explain how to do this question . The three angles of a triangle are 3x, x + 10, and 2x - 40. Find the size of the smallest angle in the triangle?       Log On


   



Question 450850: I really need some one to explain how to do this question .
The three angles of a triangle are 3x, x + 10, and 2x - 40. Find the size of the smallest angle in the triangle?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The angle +2x+-+40+ must be positive, so +x+%3E+20+
If +x+%3E+20+, The other 2 angles will be greater than
+2x+-+40
Also the sum of the angles must be 180 degrees
+3x+%2B+x+%2B+10+%2B+2x+-+40+=+180+
+6x+-+30+=+180+
+6x+=+210+
+x+=+35+
+x+%2B+10+=+45+
+3x+=+105+
+2x+-+40+=+30+ This is the smallest