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Payal Singh 8 years, 7 months ago
Let number of rabbit = x
Number of duck = y
x rabbits have heads = x
y ducks have heads = y
Total head = x+y
According to question,
x + y = 50 ....(1)
x rabbits have legs =4x
y ducks have legs = 2y
According to question,
4x+2y = 184
=> 2x+y = 92 .....(2)
Subtract (1) from (2) we get
x = 42
So y = 8
Number or rabbits = 42
Number of ducks = 8
Posted by Rahul Singh 8 years, 7 months ago
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Naveen Sharma 8 years, 7 months ago
Given : A triangle ABC
To Prove : The sum of all angles is 180o
Construction :Draw line a through points A and B. Draw line b through point C and parallel to line a.

Proof : Since lines a and b are parallel,
{tex}\angle BAC = \angle B'CA \\ and \ \angle ABC = \angle BCA'{/tex}
{tex}\angle B'CA + \angle ACB + \angle BCA' = 180 ^o {/tex}{tex}[angles \ on \ a \ line ]{/tex}
{tex}Thus\ \angle ABC + \angle BCA + \angle CAB = 180^o{/tex}
Hence proved
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