Question

The angle of a quadrilateral are in the ration 2:4: 5:7. Find the angles.​

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.

Answer 2

Answer:

2x = 40 ,4x = 80 , 5x = 100 ,7x = 140

Step-by-step explanation:

Here is your answer

Let the all ratio = 2x,4x,5x,7x

The sum of all angle in quadrilateral = 360

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

6x+12x=360

18x=360

x= 360/18

x = 20

So we get the value of x which is equal to 20 now we have to multiply the value of x with all ratio to find the angle

Now,

2x= 2×20 = 40

First angle is 40

4x= 4×20 = 80

Second angle is 80

5x= 5×20 = 100

Third angle is 100

7x = 7× 20 = 140

fourth angle is 140

Verification :✓

So we know that sum of all angle of quadrilateral is 360

So,

40+80+100+140= 360

120+240 = 360

360 = 360

L.H.S = R.H.S

Hence verify✓

Hope it may be helpful to you .Please mark me as a brainlesit and give thanks

Brainly Team.