Question

the angels of a quadrilateral are in the ratio 2 : 4 : 5 : 7 . find the angels.​

Answer 1

Step-by-step explanation:

As the ratio is 2 : 4 : 5 : 7, let the angles be 2a, 4a, 5a and 7a.

Sum of all angles at vertices in quadrilateral is 360°.

= > 2a + 4a + 5a + 7a = 360°

= > 18a = 360°

= > a = (360/18)°

= > a = 20°

Therefore angles are:

2a = 2(20°) = 40°

4a = 4(20°) = 80°

5a = 5(20°) = 100°

7a = 7(20°) = 140°

Answer 2

Answer:

20,40,50,70

Step-by-step explanation:

let x be any value for the ratios of all angles

so,the angles are 2x,4x,5x,7x

2x+4x+5x+7x=180

(180 is angle sum property of quardilateral's angles)

18x=180

x=10

know substitute the value of x in the assumed angles

2x=20,4x=40,5x=50,7x=70