Question

in a quadrilateral ABCD the angles a b c and d are in the ratio 1 : 2 : 4 : 5 find the measure of each angle of the quadrilateral​

Answer 1

Answer:

Let common multiple be x

According to condition

x+2x+4x+5x=360°

12x=360°

x= 30°

a= x=30°

b= 2x = 60°

c= 4x =120°

d= 5x= 150°

Answer 2

sum of all angles of quadrialteral =360°

take the angles as x, 2x,4x,5x.

x+2x+4x+5x=360°

12x=360°

x=360°/12 there fore x=30°

x=30°

1)30°

2)60°

3)120°

4)150°