Answer:
Let us consider that the smallest angle is 'x'.
According to the given ratio, the four angles are:
- x
- 2x
- 3x
- 4x
Now, for any quadrilateral, the sum of the all four angles should be equal to 360°.
So,
x + 2x + 3x + 4x = 360°
10x = 360°
x = 36°.
Thus, the four angles are:
- x = 36°
- 2x = 2 × 36 = 72°
- 3x = 3 × 36 = 108°
- 4x = 4 × 36 = 144°
