Question

The angles of quadrilateral are in the ratio 2 : 4 : 8 : 12. Find all the angles of the quadrilateral.

Answer 1

Answer:

2:4:5:7

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

Answer:

x = 13.8461538462

Step-by-step explanation:

2 : 4 : 8 : 12
Let x be the common multiple
2x + 4x + 8x + 12x = 360
Sum of angles in a quadrilateral is 360°
26x = 360
x = 13.8461538462
∴ 2x = 2 × 13.8461538462 = 27.6923076924,
4x = 4 × 13.8461538462 = 55.3846153848
8x = 8 × 13.8461538462 = 110.76923077,
12x = 12 × 13.8461538462 = 166.153846154.

27.6923076924, 55.3846153848, 110.76923077,166.153846154 are angles  of quadrilateral.