Question

Points A, B and C are taken in such a way that they lie on the same line. Point D does not lie on the line $\overleftrightarrow{AB}$ .

Statement 1: $\angle$ABD and $\angle$DBC are supplementary

Statement 2: $\angle$ABD and $\angle$DBC form a linear pair

Choose the correct option:

• A. Both statement 1 and 2 are correct
• B. Only Statement 1 is correct
• C. Only Statement 2 is correct
• D. Neither of the statements is correct

Answer 1

The correct option is A

Both statement 1 and 2 are correct

$\angle$ABD and $\angle$DBC form a linear pair together, and the sum of the angles of a linear pair is ${180}^{\circ }$, i.e., they are supplementary.