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

Adjacent angles:

∠ A O D & ∠ C O D

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Adjacent angles:

∠ B O C & ∠ C O D

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Linear pairs:

∠ A O D & ∠ B O D

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Linear pairs:

∠ A O C & ∠ B O C

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Solution

The correct options are
A Adjacent angles: $∠ A O D & ∠ C O D$
B Linear pairs: $∠ A O D & ∠ B O D$
C Adjacent angles: $∠ B O C & ∠ C O D$
D Linear pairs: $∠ A O C & ∠ B O C$
$A d j a c e n t a n g l e s a r e t h o s e a n g l e s w h i c h h a v e c o m m o n s i d e a n d c o m m o n v e r t e x . H e n c e ∠ A O D a n d ∠ C O D a r e a d j a c e n t . (C o m m o n s i d e O D a n d c o m m o n v e r t e x O) ∠ B O C a n d ∠ C O D a r e a d j a c e n t (C o m m o n s i d e O C a n d c o m m o n v e r t e x O) L i n e a r p a i r o f a n g l e s a r e a n g l e s w h i c h a d d u p t o f o r m 180 ∠ A O D a n d ∠ B O D f o r m l i n e a r p a i r ∠ A O C a n d ∠ B O C f o r m l i n e a r p a i r$

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