Question

the smallest angle in a triangle is 1/9 as large as the largest angle. The third angle is twice the smallest angle. Find the three angles.

Answer 1

Let the smallest angle be x.
"The third angle is twice the smallest angle." implies the third angle is 2x.
"the smallest angle in a triangle is 1/9 as large as the largest angle" implies the largest angle is 9 times the smallest angle or 9x

So the three angles of the triangle are: x, 2x, 9x.

The sum of three angles of a triangle = 180 degrees.
Therefore, x + 2x + 9x = 180.
Solve for x
Then compute the the three angles: x, 2x and 9x.