The measures of the angles of def are in the ratio 2: 4: 4. what are the measures of the angles?

What is DEF ?
Is it a straight line ?
Is it a line that's bent in two places ?
Is it a triangle ?
Is there a picture ?
Do you have a drawing ?
Could you describe it for us ?

IF DEF is a triangle, then all three angles add up to 180 degrees.

The angles take 2 shares, 4 shares, and 4 shares of the 180.

There are (2 + 4 + 4) = 10 shares all together.

So each share is  (180 / 10) = 18 degrees.

The angles are:

-- 2 shares = (2 x 18) = 36 degrees
-- 4 shares = (4 x 18) = 72 degrees
-- 4 shares = (4 x 18) = 72 degrees .

None of this means anything unless DEF is a triangle.