Question

the four angles of a quadrilateral are in the ratio of 2 is to 3 is to 4 is to 6 find the measure of each angle

Answer 1

let 4 angles of quadrilateral be 2x , 3x, 4x,6x respectively

according to question ,

sum of all angles of a quadrilateral = 360°

=> 2x+3x+4x+6x = 360°

=> 15x = 360°

=> x = 360°/15 => 24°


if x = 24°

then , angles of quadrilateral => 2x = 2(24°) = 48°

3x = 3(24°) = 72°

4x = 4(24°) = 96°

6x = 6(24°) = 144°


hope this helps

Answer 2

The sum of all angles of quadrilateral is 360.
Therefore,
$2x + 3x + 4x + 6x = 360 \\ 15x = 360 \\ x = \frac{360}{15} \\ x = 24$
Therefore,
2x =48
3x=72
4x=96
6x= 144