Question

ABCD is a parallelogram in which AB=7.5cm and AD = 5cm if angle A is 40 degree find all sides..9th class

Answer 1

Answer:

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Answer 2

$Given \: ABCD\: is \: a \: parallelogram .$

$AB = 7.5 \:cm , \: AD = 5 \:cm \:and \: \angle A= 40\degree$

$i ) CD = AB = 7.5 \:cm$

$and \: BC = AD = 5 \: cm$

$\blue { ( Opposite \: sides \: are \: equal \: in }$

$\blue{ a \: parallelogram . )}$

$ii) \angle A + \angle B = 180\degree$

$\pink { ( Sum \: of \: adjacent \: angles \: are }$

$\pink{ supplementary . )}$

$\implies 40\degree + \angle B = 180\degree$

$\implies \angle B = 180\degree - 40\degree$

$\implies \angle B = 140\degree$

$Now, \angle C = \angle A = 40\degree$

$and \:\angle B = \angle D = 140\degree$

$\orange { ( Opposite \: angles \: are \: equal )}$

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