Question

The angles of a quadrilateral are in the ratio 4:3:2:1. What is the size of the smallest angle?

Answer 1

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.