Question

two angle of quadrilateral are 72 and 56 and remaining two angles are in the ratio 3 ratio 5 find the measure of each angles of a quadrilateral

Answer 1

sum of all angles is 360° . sum of remaining angles is 360- 72-56= 232° let the remaining angles be 3x and 5x so sum is 8x = 232° .
x= 29 putting the value . angles are:-
3x = 87° and 5x= 145°

Answer 2

Let the angle be 3x and 5x

As sum of all angles of a quadrilateral is 360

$72 + 56 + 3x + 5x = 360 \\ 8x = 360 - 128 \\ 8x = 232 \\ x = 232 \div 8 \\ x = 29 \\ \\ so \: angles \: are \: 3 \times 29 = 87 \\ and \: 5 \times 29 = 145$
all angles are 87 ,145 ,72 , and 56

Hope it helps you