Question

Pls solve this AS SOON AS YOU CAN

Answer 1

`\sf\\(i)\ m\angle AOC=m\angle BOD=37^o\ \ \ [\textsf{Vertically opposite angles are equal.}]\\\\(ii)\ m\angle BOF=m\angle AOE=15^o\ \ \ [\textsf{Vertically opposite angles are equal.}]\\\\(iii)\ m\angle COF+m\angle AOC+m\angle BOF=180^o\ \ \ [\textsf{Sum of angles on straight line is 180}^o,]\\\textsf{or, }m\angle COF+37^o+15^o=180^o\\\textsf{or, }m\angle COF=128^o`

`\sf\\(iv)\ m\angle COE=m\angle AOC+m\angle AOE\ \ \ [\textsf{Whole part axiom.}]\\or,\ m\angle COE=37^o+15^o=52^o`