Mathematics

With respect to the figure, write all pairs of adjacent angles and all the linear pairs. 


ANSWER

 Adjacent angles: $$\angle AOD \ \ \& \ \ \angle COD$$ 

Adjacent angles: $$ \angle BOC \ \ \& \ \ \angle COD$$

Linear pairs: $$\angle AOD \ \ \& \ \ \angle BOD$$

Linear pairs: $$\angle AOC \ \ \& \ \ \angle BOC$$


SOLUTION

$$Adjacent\quad angles\quad are\quad those\quad angles\quad which\quad have\quad common\quad side\quad and\quad common\quad vertex.\\ Hence\quad \angle AOD\quad and\quad \angle COD\quad are\quad adjacent.(Common\quad side\quad OD\quad and\quad common\quad vertex\quad O)\\ \angle BOC\quad and\quad \angle COD\quad are\quad adjacent\quad (Common\quad side\quad OC\quad and\quad common\quad vertex\quad O)\\ Linear\quad pair\quad of\quad angles\quad are\quad angles\quad which\quad add\quad up\quad to\quad form\quad 180\quad \\ \angle AOD\quad and\quad \angle BOD\quad form\quad linear\quad pair\\ \angle AOC\quad and\quad \angle BOC\quad form\quad linear\quad pair$$
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