Question

the angles of a quadrilateral are in ratio 2:3:4:9. find the angles . show how you have done the answer step by step. irreverent answer will be reported​

Answer 1

Answer:

The angles are A = 40°, B = 60°, C = 80°, D = 180°

Step-by-step explanation:

Sum of all the angels of a quadrilateral is 360°

ratio of angles are 2 : 3 : 4 : 9

let the angles be A, B, C, D

A + B + C + D = 360°

Sum of ratios = 2+3+4+9 = 18

A = 360 × 2/18 = 20 × 2 = 40°

B = 360 × 3/18 = 20 × 3 = 60°

C = 360 × 4/18 = 20 × 4 = 80°

D = 360 × 9/18 = 20 × 9 = 180°

the angles are A = 40°, B = 60°, C = 80°, D = 180°

Hope you get your answer

Answer 2

Answer:

let the angles be (2x)degree, (3x)degree , (4x)degree and (9x)degree

   therefore, (2x)degree+(3x)degree+(4x)degree+(9x)degree=360degree  [since sum of all angles of a quadrilateral is 360 degree]

                =) 18x=360

                 =) x=360/18

                  =) x=20

so, the angles are,  (2x)degree= (2*20)degree = 40degree

(3x)degree= (3*20)degree = 60degree

(4x)degree= (4*20)degree = 80degree

(9x)degree= (9*20)degree = 180degree

Step-by-step explanation:

hope it helps