Question

In the given figure, ∠AOB is supplementary angle of .

• A. ∠DOB
• B. ∠FOE
• C. ∠AOF
• D. ∠AOD

Answer 1

The correct option is A ∠DOB


In the given figure,
∠DOB = ∠DOC + ∠COB
= ${40}^{\circ }$ + ${50}^{\circ }$ = ${90}^{\circ }$

∠AOB = ${90}^{\circ }$

∴ ∠AOB + ∠DOB = ${180}^{\circ }$

The sum of ∠AOB and ∠DOB is equal to ${180}^{\circ }$, hence they are supplementry angles.