Question

the angles of a quadrilateral ate =2:4:5:7.find the angles​

Answer 1

Answer:

Let x be the common multiple.

2x+4x+5x+7x=360

Sum of angles in a quadrilateral is 360  

0

 

18x=360

x=20

∴ 2x=2×20=40,4x=4×20=80,5x=5×20=100,7x=7×20=140

40,80,100,140 are angles  of quadrilateral.

Step-by-step explanation:

Answer 2

The sum of all angles of a quadrilateral = 360 degree
Let the ratios be 2x + 4x + 5x + 7 x = 360

18x = 360
x= 360/18 = 20

The angles will be
2x = 2 x 20 = 40 degree
4x = 4 x 20 = 80 degree
5x = 5 x 20 = 100 degree
7x = 7 x 20 = 140 degree

You can check by adding all these angles which gives 360 degree