In the figure, find the values x,y and z.

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Solution

Two lines $l_{1}$ and $l_{2}$ intersect each other at O
$∴$ Vertically opposite angles are equal,
$∴ y = 25^{\circ} a n d x = z$
Now $25^{\circ} + x = 180^{0}$ (Linear pair)
$\Rightarrow x = 180^{0} - 25^{0} = 155^{0}$
$∴ z = x = 155^{\circ}$
Hence $x = 155^{\circ}, y = 25^{\circ}, z = 155^{\circ}$

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