What is each angle of the following triangle? The largest angle of the triangle is 6 times as large as the smallest angle. The third angle is...

The smallest angle  of the triangle is assumed to be
x.

Since largest angle is 6 times the smallest angle, the
largest angle = 6x.

The other angle is greater than the
smallest bt 30 degree. So the other angle has to be x+3
dgree.

The therefore , the sum of the 3 angles = x+6x+x+30
= 8x+30.

Also the sum of the 3 angles of the is 180 degree.
Therefore 8x+30 = 180 deg.

So 8x = 180-30 =
150.

Therefore x = 150/8 = 18.5 deg is the smallest
angle. 

The largest = 18.75/6 = 112.5
deg.

The 3rd angle = x+30 = 18.75+30 = 48.55
deg.