Question

The ratio of the measures of the three angles of a triangle is 1 : 2 : 6. The measure of the largest angle is? Fast!!!

Answer 1

Let's take the angles of the triangles as x , 2x ,6x .

Then ,

$x + 2x + 6x =$ 180° (Angle sum property of an triangle)

$9x =$  180°

$x= \frac{180}{9}$

$x=$  180°

∴ Largest angle = 6x = 6 × 20° = 120°