Question

abcd is a parellelogram. find the value of a=c, b=2a, c=7a, d=13a​

Answer 1

Step-by-step explanation:

here A=C

B=D

A+D=180

B+C=180

A+B+C+D=360

So 7a=c ----(1)

b+2a=3a+d

ie, a=b-d ----(2)

(1)-(2)

6a=c-b-d ----(3)

given

c+3a+d+7a+2a+b=360

12a+b+c+d=360

from (3)

2c-2b-2d+b+c+d=360

3c-b-d=360

from (2)

3c-a=360

we know 7a=c

so 3*7a-a=360

21a-a=360

20a=360

a=18

from (1)

7a=c

7*18=c

c=126

we know 7a+2a+b=180

9a+b=180

9*18+b=180

162+b=180

b=18

we know 3a+d+c=180

3*18+126+d=180

54+126+d=180

180+d=180

d=180-180

d=0