Question

In a triangle, the largest triangle is twelve times larger than the smallest angle, while the smallest angle is three times smaller than the middle angle. Find the measures of all the angles.

Answer 1

Let The Largest Angle Be X .
Then, Smallest Angle Will Be X/12
& Middle Angle Will Be X/4.
Now , Sum Of Angles Of Triangle = 180°
X/12 + X/4+ X = 180°
16X/12 = 180°
X = 135°
Hence , Largest Angle = 135°
Smallest Angle =135/12 °
Middle Angle =135/4 °