the correct option is b) 60°, as the smallest angle is 40°.
Explanation:
Let's assume the angles of the quadrilateral are \(a\), \(2a\), \(4a\), and \(5a\), respectively.
According to the given information, the smallest angle is \(a\), which is either 120° or 40°.
a) If \(a = 120°\):
The four angles of the quadrilateral would be 120°, 240°, 480°, and 600°, respectively. However, angles in a quadrilateral cannot exceed 360°, so this option is not valid.
b) If \(a = 40°\):
The four angles of the quadrilateral would be 40°, 80°, 160°, and 200°, respectively. These angles are within the valid range for a quadrilateral.
Therefore, the correct option is b) 60°, as the smallest angle is 40°.