V K Raman and S N Sharma Solutions for Exercise 1: EXERCISE

$\mathrm{O}$ is a point on $\mathrm{AB}$. $\overline{\mathrm{OE}}$ bisects $\angle \mathrm{AOD}$, $\overline{\mathrm{OC}}$ bisects $\angle \mathrm{BOD}$. If $\angle \mathrm{BOC}=40°$, then find $\angle \mathrm{COD}$. (Write the answer without degree symbol)

$\mathrm{O}$ is a point on $\mathrm{AB}$. $\overline{\mathrm{OE}}$ bisects $\angle \mathrm{AOD}$, $\overline{\mathrm{OC}}$ bisects $\angle \mathrm{BOD}$. Given $\angle \mathrm{BOC}=40°$, find $\angle \mathrm{AOE}$.

$\mathrm{O}$ is a point on $\mathrm{AB}$. $\overline{\mathrm{OE}}$ bisects $\angle \mathrm{AOD}$, $\overline{\mathrm{OC}}$ bisects $\angle \mathrm{BOD}$. Given $\angle \mathrm{BOC}=40°$, find $\angle \mathrm{EOC}$.

$\overline{\mathrm{AB}}$ and $\overline{\mathrm{CD}}$ intersect at $\mathrm{O}$ . Given$\angle \mathrm{BOD}=44°$. If $\angle \mathrm{BOC}=k°$ then find $k$.

$\overline{\mathrm{AB}}$ and $\overline{\mathrm{CD}}$ intersect at $\mathrm{O}$ . Given$\angle \mathrm{BOD}=44°$. Find $\angle \mathrm{AOC}$.

$\overline{\mathrm{AB}}$ and $\overline{\mathrm{CD}}$ intersect at $\mathrm{O}$ . Given$\angle \mathrm{BOD}=44°$. Find $\angle \mathrm{AOD}$.

$\angle \mathrm{AOC}$ and  $\angle \mathrm{COB}$form a linear pair ,$\angle \mathrm{AOC}=\mathrm{a}°$ and  $\angle \mathrm{COB}=\mathrm{b}°$. Find the measure of angle between the bisectors of$\angle \mathrm{AOC}$  and $\angle \mathrm{BOC}$.
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$\mathrm{AB}$ and $\mathrm{CD}$ intersect at $\mathrm{O}$. $\angle \mathrm{BOC}=\mathrm{x}°+10°$. Given that $\mathrm{x}° =30°$. If $\angle \mathrm{AOD}=k°$ then find $k$.