Statement $1$ : When two lines intersect each other, only the angles forming linear pair are supplementary.

Statement $2$ : When two lines intersect each other, angles forming linear pair are supplementary.

Choose the correct option.

Both the statements are right.

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Statement 1 is right but statement 2 is wrong.

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Statement 2 is right but statement 1 is wrong.

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Both the statements are wrong.

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Solution

The correct option is C
Statement 2 is right but statement 1 is wrong.

Statement $2$ is correct while statement $1$ is incorrect.

Reason:-If the lines are perpendicular to each other, then the pair of vertically opposite angles are also supplementary.

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Similar questions

Statement $1$ : When two lines intersect each other, only the angles forming linear pair are supplementary.

Statement $2$ : When two lines intersect each other, angles forming linear pair are supplementary.

Choose the correct option.

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 $\leftarrow \to A B$ .

Statement 1: $∠$ ABD and $∠$ DBC are supplementary

Statement 2: $∠$ ABD and $∠$ DBC form a linear pair

Choose the correct option:

Q. Consider the following statements:
When two straight lines intersect:
1. Adjacent angles are complementary
2. Adjacent angles are supplementary
3. Opposite angles are equal
4. Opposite angles are supplementary

Of these statements

Consider the following three statements

Statement -1: When two lines intersect each other then the linear pair of angles are always equal to the vertically opposite angles.
Statement-2: If a ray stands on a line, then the sum of two adjacent angles so formed is $180^{\circ}$
Statement -3: In a right angle triangle between the other two angles one is obtuse and the other is acute.
Which of the following is correct.

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Statement 1: When two lines intersect each other, only the angles forming linear pair are supplementary. Statement 2: When two lines intersect each other, angles forming linear pair are supplementary. Choose the correct option.

The correct option is C Statement 2 is right but statement 1 is wrong. Statement 2 is correct while statement 1 is incorrect. Reason:-If the lines are perpendicular to each other, then the pair of vertically opposite angles are also supplementary.

Statement $1$ : When two lines intersect each other, only the angles forming linear pair are supplementary.

Statement $2$ : When two lines intersect each other, angles forming linear pair are supplementary.

Choose the correct option.

The correct option is C
Statement 2 is right but statement 1 is wrong.

Statement $2$ is correct while statement $1$ is incorrect.

Reason:-If the lines are perpendicular to each other, then the pair of vertically opposite angles are also supplementary.