Question

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

Answer 1

$(\angle EOB,\angle DOB);(\angle EOC.\angle COB);(\angle FOE,\angle EOC)$

Given:$\angle EOB=\angle FOC={90}^{\circ }$
As, $\angle EOB={90}^{\circ }$
$\Rightarrow \angle EOD$ and $\angle DOB$ are adjacent complementary angles.
Also, $\angle EOC$ and $\angle COB$ are adjacent complementary angles.
Now, $\angle FOC={90}^{\circ }$
$\Rightarrow \angle FOE$ and $\angle EOC$ are adjacent complementary angles.
Hence three pairs of adjacent complementary angles are $(\angle EOB,\angle DOB);(\angle EOC.\angle COB);(\angle FOE,\angle EOC)$.