Question

The angles of a quadrilateral are in the ratio of 3:5:9:1. Than the value of the 2/3 sum of the smallest and 2nd largest angle is-

Answer 1

let the constant ratio be x then
the angles are 3x 5x 9x and 1x
and the sum of angles of a quadrilateral is 360 degree
$3x + 5x + 9x + x = 360 \\ 18x = 360 \\ x = 360 \div 18 = 20$
therefore angles are
3x =3×20=60
5x=100
9x=180
x=20

Answer 2

Answer:

80

Step-by-step explanation:

3x+5x+9x+x=380

18x=360

x=20

angle get 3*20=60

5*20=100

9*20=180

1*20=20

smallest angel 20

2nd largest Angle 100

total Sum=120

2/3*120=80