Question

In the figure below, lines AB and CD intersect each other at point O. If the angle $\angle AOD={110}^{\circ }$ then, $\angle AOC$ is

• A. ${80}^{\circ }$
• B. ${100}^{\circ }$
• C. ${70}^{\circ }$
• D. ${110}^{\circ }$

Answer 1

The correct option is C

${70}^{\circ }$

Here $\angle AOD+\angle AOC={180}^{\circ }$ [COD is straight line, Linear Pair]

$\therefore {110}^{\circ }+\angle AOC={180}^{\circ }$

$\Rightarrow \angle AOC={180}^{\circ }-{110}^{\circ }$

$\Rightarrow \angle AOC={70}^{\circ }$