Question

In figure, $\angle AOF$ and $\angle FOG$ form a linear pair. If $\angle EOB=\angle FOC={90}^{\circ }$ and $\angle DOC=\angle FOG=\angle AOB={30}^{\circ }$
iv. Name three pairs of adjacent supplementary angles

Answer 1

$\angle AOB,\text{and}\angle BOG;\angle AOC,\text{and}\angle COG;\angle AOD,\text{and}\angle DOG$

Given: $\angle AOF$ and $\angle FOG$ form a linear pair $\Rightarrow \angle AOG$ is a straight line $\therefore \angle AOB,\text{and}\angle BOG;\angle AOC,\text{and}\angle COG;\angle AOD,\text{and}\angle DOG$ are pairs of adjacent supplementary angles.