Question

In quadrilateral abcd,the angle a,b,c and d are in ratio 1:2:4:5,find the measure the each angle the quadrilateral

Answer 1

sum of the angles is 360 use this

Answer 2

Given: angle a,b,c and d are in ratio 1:2:4:5

To find: measure of all angles of quadrilateral

Soln: Let the common multiple be 'x'

.: 1x:2x:4x:5x

.: 1x + 2x + 4x + 5x =360'

.: 12x = 360

.: x = 360÷12

.: x = 30'

.: 1x = 1×30 = 30

.: 2x = 2×30 = 60

.: 4x = 4×30 = 120

.: 5x = 5×30 = 150