the sum of the angles in a triangle = 180°, thus
x + [tex]\frac{1}{2}[/tex] x + [tex]\frac{1}{6}[/tex] x = 180
multiply through by 6
6x + 3x + x = 1080
10x = 1080 ( divide both sides by 10 )
x = 108
the angles are 108°, 54° and 18°
Since all the angles are different and the largest is 108°
The triangle is an obtuse scalene triangle
