Question

Four angles of an irregular quadrilateral are in the ratio 1:2:4:5.Find the measure of each angle
​

Answer 1

Answer:

1440.

Step-by-step explanation:

Given, the four angles of a quadrilateral are in the ratio 1:2:3:4

Let the angles be x,2x,3x & 4x.

∴    x+2x+3x+4x=360

⇒10x=360

∴    x=36  

0

 

∴   angles are 36  

0

,72  

0

,108  

0

 & 1440.

Answer 2

Answer:

the four angles are 30,60,120,150

Step-by-step explanation:

let the ratio be

x+2x+4x+5x=360(we know that the sum of

quadrilateral is 360)

12x=360

we get,

x=30

put the value of x

in x,2x,4x,5x

we get all four angles