Question 13 Marks
The angles of a quadrilateral are in the ratio $2 : 3 : 4 : 6$. Find the measures of these angles.
Answer
View full question & answer→Suppose the angles are $2x, 3x, 4x,$ and $6x.$
We know that the sum of the angles of a quadrilateral is $360^\circ .$
$\therefore 2x + 3x + 4x + 6x = 360 15x = 360 x = 24$
Therefore, the measures of the angles are $48^\circ , 72^\circ , 96^\circ $ and $144^\circ .$
We know that the sum of the angles of a quadrilateral is $360^\circ .$
$\therefore 2x + 3x + 4x + 6x = 360 15x = 360 x = 24$
Therefore, the measures of the angles are $48^\circ , 72^\circ , 96^\circ $ and $144^\circ .$