Question

In the figure, ray OC stands on the line AB and $\angle BOC={125}^{\circ }$. Find reflex $\angle AOC$. [2 MARKS]

Answer 1

Concept: 1 Mark
Application: 1 Mark

$\angle AOC$ and $\angle BOC$ are linear pair of angles.

$⟹\angle AOC+\angle BOC={180}^{\circ }$

$⟹\angle AOC+{125}^{\circ }={180}^{\circ }$

$⟹\angle AOC={180}^{\circ }-{125}^{\circ }={55}^{\circ }(\angle BOC={125}^{\circ })$

$Reflex\angle AOC={360}^{\circ }-\angle AOC={360}^{\circ }-{55}^{\circ }={305}^{\circ }$