Question

Identify the linear pair of angles in the above problem.

• A. x and y
• B. ∠AOX and ∠BOX
• C. ∠AOX and ∠AOY
• D. All of the above

Answer 1

The correct option is D

All of the above

1. Since x and y are a pair of adjacent angles and the angles are formed on the line $\overleftrightarrow{XY}$ , they are supplementary and form a linear pair.
2. Since $\angle$AOX and $\angle$BOX are a pair of adjacent angles and the angles are formed on the line $\overleftrightarrow{AB}$ , they are supplementary and form a linear pair.
3. Since $\angle$AOX and $\angle$AOY are a pair of adjacent angles and the angles are formed on the line $\overleftrightarrow{AB}$, they are supplementary and form a linear pair.

Hence, all the pairs given are linear pairs. In this case, the value of y would be 180${}^{\circ }$ - 40${}^{\circ }$ = 140${}^{\circ }$.