Question

A ray OC is constructed on the line segment AB such that ∠BOC is x${}^{\circ }$. ∠AOC is

• A. x${}^{\circ }$
• B. $180°-x°$
• C. $90°-x°$
• D. $360°-x°$

Answer 1

The correct option is B $180°-x°$

The ray OC is drawn on the line segment AB.
$\angle$AOC + $\angle$BOC = 180${}^{\circ }$
($\angle$AOC and $\angle$BOC are linear pair of angles)
$\angle$AOC = 180${}^{\circ }$ - $\angle$BOC
= 180${}^{\circ }$ – x${}^{\circ }$