The angles of a quadrilateral are in the ratio 4:3:2:1. What is the size of the smallest angle?
Let's call the angles of the quadrilateral 4x, 3x, 2x, and x, where x is the smallest angle.
The sum of the angles of a quadrilateral is 360 degrees, so we can write:
4x + 3x + 2x + x = 360
Simplifying:
10x = 360
x = 36
Therefore, the smallest angle is x = 36 degrees.