Mathematics

# Find the angles x and y in the figure. $AO=OB$

##### SOLUTION
Since,
$AO=OB\Rightarrow \angle ABO=\angle x..........(1)$

Now, $\angle AOB=92^o$ as it is vertically oppsite angle to $92^o$

Also, According to Sum of Opposite angle Rule
$x+92^o=y...................(2)$

Also, $\angle ABO+y=180^o\Rightarrow \angle ABO=180^o-y...................(3)$

From (1),(2) and (3)
$x=180^o-y\Rightarrow x=180^o-(x+92^o)\Rightarrow 2x=88^o\Rightarrow x=44^o$

$y=180^o-x=180^o-44^o=136^0$

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Subjective Medium Published on 09th 09, 2020
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