in adjoining figure turn and burn are parallelogram find the measure of X and Y.( length are in centimetre)
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in BURN
in a parallelogram diagonal bisect each other
x+3=18
x=15
x+y=20
y=5
In TURN
4x +2=28
x=13/2
5y -1 =24
y= 5
kunalsolanki80:
thanku so much
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PART 1: TURN
Property: We know that in a parallelograms, opposite sides are equal.
So, in llgm TURN
TU = RN
So, 4x + 2 = 28
4x = 24
x = 6
Also, TN = RU
So, 5y - 1 = 24
5y = 25
y = 5
PART 2: BURN
Property: We know that diagonals of a llgm bisect each other.
Let diagonals UN and BR intersect at O
Then, OB = OR
x + y = 20 ----------------(1)
Also, ON = OU
x + 3 = 18
x = 15
Put x = 15 in (1)
15 + y = 20
y = 5
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