Question

In the fig.AB||cd .find the value of x y z

Answer 1

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Answer 2

Answer:

$if \: ab \: is \: parallel \: to \: cd \: then \: angle \: 75 = y(alternate \: interior \: angle)$

$cd \: is \: straight \: line \: then \: 125 + a = 180$

$a = 55$

$in \: triangle \: pqr$

$z + y + a = 180$

$z + 75 + 55 = 180$

$z = 50$

CD is straight line

$y + x = 180$

$x = 105$