Question

find the values of x,y and z in the following figure
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Answer 1

$Given \: In \:parallelogram \: ABCD ,$

$\angle B = 100\degree$

$i) \angle B + \angle C = 180\degree$

$\blue { \because (Sum \:of \: adjacent \:angles }$

$\blue { are \: supplementary )}$

$\implies 100\degree + x = 180\degree$

$\implies x = 180\degree - 100\degree$

$\implies x = 80\degree$

$ii ) z = x = 80\degree$

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

$ii ) y = \angle B = 100\degree$

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

Therefore.,

$\orange { x = 80\degree, y = 100\degree, z = 80\degree}$

$Option \: \green { ( a ) } \: is \: correct .$

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