what is the measure of the smallest interior angle of the quadrilateral?

Question

The four interior angles of a particular quadrilateral are in the ratio 2:4:4:5. In degrees, what is the measure of the smallest interior angle of the quadrilateral?

Answer 1

adding up all parts of the ratio (2,4,4,5) you get 15, so the full 360 degrees of interior angles are divided into 2/15, 4/1, 4/15 again and 5/15 shares of the 360^o.

 

Thus the smallest angle measures 2/15 of 360, or 48^o