The largest angle of a triangle is 100 degrees larger than the smallest angle If the third angle exceeds the smallest by 5 degrees how many degrees are there in each angle of the triangle?

Answer 1

When doing these types of problems, start with the fact that the sum of the angles in any triangle is 180 degrees (Any planar triangle that is.)

So let the smallest angle be x. The largest angle is x+100 since we are told the largest angle is 100 degrees larger than the smallest angle.

Now the third angle is x+5 by the same reasoning.

So now we add x+x+5+x+100=180
3x+105=180
3x=75
so x=25.
The smallest angle is 25 degrees.
The largest is 125 degrees and the third angle is 30 degree.

Note that 125+25+30 is 180 as desired.