Mathematics

# The measure of $q$ in the  given figure is :

$152^{\circ}$

##### SOLUTION
From the figure
$\angle AOC=\angle AOB+\angle BOC$
$\Rightarrow \angle ADC={ 62 }^{ \circ }+{ 90 }^{ \circ }\\ \Rightarrow \angle ADC={ 152 }^{ \circ }$
Now $\angle DOE=\angle AOC$  (Vertically opposite angles)
$\Rightarrow q=152^{\circ}$

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Single Correct Medium Published on 09th 09, 2020
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