Question

In the figure, given below, $\angle$AOC=${67}^{\circ }$, $\angle$BOC=${113}^{\circ }$ and $\angle$AOB=${123}^{\circ }$. Then which of the given options is correct?

• A. ∠AOC and ∠AOB are supplementary angles.
• B. ∠AOC and ∠BOC are complementary angles.
• C. ∠AOC and ∠BOC are supplementary angles.
• D. ∠BOC and ∠AOB are complementary angles.

Answer 1

The correct option is C

∠AOC and ∠BOC are supplementary angles.

Two angles whose sum is ${180}^{\circ }$ are called supplementary angles. So in the above figure the sum of the $\angle$AOC and $\angle$BOC =${67}^{\circ }$ +${113}^{\circ }$=180, hence $\angle$AOC and $\angle$BOC are supplementary.