Mathematics

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

##### SOLUTION
Given, $x=45^o$

As per the diagram, two lines $l_1$ & $l_2$ intersected to form two pairs of vertically opposite angles.

$x = z$  -- (1)

$u = y$  --(2)

From (1)

$x = z=45^o$ .

We also know that the sum of all the angles around a point is $360^o$

$x+u+z+y=360^o$

$45+u+45+u=360^o$

$90+2u=360^o$

$2u=270^o$

$u=135^o$

=>$y=135^o$

$\therefore$ $x = 45^o, z=45^o, u=135^o$ and $y=135^o$.

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Subjective Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
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