Step-by-step explanation:
Since, the angles of the quadrilateral are in the ratio 1:2:3:4
Therefore, let their measures be x, 2x, 3x and 4x
By angle sum property of the interior angles of a quadrilateral.
[tex]x + 2x + 3x + 4x = 360 \degree \\ \\ 10x = 360 \degree \\ \\ x = \frac{360}{10} \\ \\ x = 36 \\ \\ \implies \: \\ 2x = 2 \times 36 = 72 \degree \\ \\ 3x = 3 \times 26 = 78 \degree \\ \\ 4x = 4 \times 36 = 144 \degree[/tex]
