Question

Find x and y
as DO=2y+13
OC=16-x
OA=x+8
OB=5y+4​

Answer 1

Answer:

x = 4

y = 3

Step-by-step explanation:

We know that ABCD is aparallelogram,

and both the diagonals AC and BD bisect each other at point O such that ,

AO = CO

BO = DO

Now,

AO = x+8

CO = 16-x

We know that AO = CO

So, = x + 8 = 16 - x

= x + x = 16 - 8

= 2x = 8

= x = 8/2

= x = 4

Now,

BO = 5y+4

DO = 2y+13

We know that BO = DO

So, = 2y + 13 = 5y + 4

= 5y - 2y = 13 - 4

= 3y = 9

= y = 9/3

= y = 3

Therefore the values of x and y are 4 and 3 respectively