Diagonals AC and BD of parallelogram ABCD intersect at O. If OA =2x-3
Answers
Answer:
Hey the full the question is,
Diagonals AC and BD of parallelogram ABCD intersect at O. If OA =2x-3,OC=y+4,OB=x+3 and OD=2y-1, find the values of x and y.
I am giving the solution of the above question. Ok?
x= 6 and y=5
Step-by-step explanation:
ABCD, is a parallelogram in which AC and BD are diagonals which intersect at point O.
we know that diagonals bisect each other so
OA=OC AND OB=OD.
Now, OA=OC,
2x-3=y+4
y=2x-7 (1)
Now,
OB=OD
x+3=2y-1
x+3=2(2x-7)-1
x+3=4x-14-1
x-4x=-18
-3x= -18
x=6
Now, put x =6 in (1), we get
y=2×6-7=12 - 7 =5
so, x=6 and y=5
I hope it would helpful to you.
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