Question

find the four angles of a quadrilateral if they are in the ratio 1:2:4:5

Answer 1

let angles
a ,2a, 4a , 5a

=> a +2a + 4a +5a = 360°

=> 12a = 360°

=> a = 30°

so angles are respectivly

30° , 60° , 120° , 150°


♣ hope it can help you ♣......

Answer 2

let angles be 1x, 2x,4x,5x
we know that the sum of all angles in quadrilateral is 360°
so,
=> 1x+2x+4x+5x = 360
=> 12x = 360
=> x=360/12
=> x = 30
so the angles are ,
1× 30= 30°
2×30=60°
4×30=120°
5×30=150°