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In the figure, lines $l_1$ and $l_2$ intersect at $O$, forming angles as shown in the figure. If $x = 45$, find the values of $y, z$ and $u$."


Given:

Lines $l_1$ and $l_2$ intersect at $O$ and $x = 45^o$.

To do:

We have to find the values of $y, z$ and $u$.

Solution:

We know that,

Vertically opposite angles are equal.

Therefore,

$z = x = 45^o$          (Vertically opposite angles)

$x + y = 180^o$          (Linear pair)

$45^o + y= 180^o$

$y = 180^o - 45^o$

$y = 135^o$

$u = y = 135^o$          (Vertically opposite angles)

Hence, $y = 135^o, z = 45^o$ and $u = 135^o$.

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Updated on: 10-Oct-2022

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