Find the value of x and y in the following
parallelogram ABCD
Answers
Answer:
Step-by-step explanation:
Here's your answer, mate
Diagonals of parallelogram bisects each
other
thus,
5y+1=6y-1
→ 1+1 = 6y-5y
→ 2= y
thus value of y is 2
now, equating the value of x → 3x-1= 2(x+1)
3x-1= 2x+2
→ 3x-2x = 2+1 → x = 3
thus, value of x is 3
Ans: The value of x and y is 3 and 2 respectively
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In the following parallelogram ABCD, find the values of x and y. Mention the property used.
Answer
ABCD is a parallelogram, with diagonals AC and BD intersect at point O.
⇒ ∠A+∠B=180
o
[ Sum of adjacent angles are supplementary in parallel ]
⇒ 110
o
+(40
o
+x)=180
o
⇒ 150
o
+x=180
o
⇒ x=30
o
In △OBC,
⇒ ∠OBC+∠BCO+∠COB=180
o
⇒ x+50
o
+y=180
o
⇒ 30
o
+50
o
+y=180
o
⇒ 80
o
+y=180
o
∴ y=100
o
∴ x=30
o
,y=100