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  4. In the given figure mathrmABCD is a parallelogram. Find the value of x, y and z.

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Q. In the given figure $\mathrm{ABCD}$ is a parallelogram. Find the value of $x, y$ and $z$.Mathematics Question Image

Geometry

Solution:

$x+105=180^{\circ}$
$ x=180-105=75^{\circ} $
$ x=75^{\circ}$
$ y+105^{\circ}=180^{\circ} \text { (adjacent angles) } $
$ y=180-105=75^{\circ} $
$ y=75^{\circ} $
$ y+z=180 $
$ \therefore z=180-75=105^{\circ}$