Question

If the measures of the angles of a triangle are represented by x, 2x+5, and x+15, find x

Answer 1

We determine the value of x as follows:

*Since we have that the sum of all interior angles of a triangles equals 180°, the following is true:

$(x)+(2x+5)+(x+15)=180$

So, we operate like terms and solve for x:

$\Rightarrow4x+20=180\Rightarrow4x=160\Rightarrow x=40$

So, the value of x is 40 units.