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 correct.

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

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

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Both the statements are incorrect.

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Solution

The correct option is C
Statement $2$ is correct but statement $1$ is incorrect.

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

Fill in the blanks:

(i) If two angles are complementary, then the sum of their measures is _______.

(ii) If two angles are supplementary, then the sum of their measures is _______.

(iii) Two angles forming a linear pair are _______.

(iv) If two adjacent angles are supplementary, they form a _______.

(v) If two lines intersect at a point, then the vertically opposite angles are always _______.

(vi) If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are _______.

Q. angles formed when a transversal intersects two parallel lines are supplementary

Two angles whose sum, is $180^{\circ}$ are called supplementary angles. Four angles are formed at the intersection of two lines. How many pairs of supplementary angles and equal angles are formed?

Answer the following questions and justify.
(i) Can two acute angles he complement to each other?
(ii) Can two obtuse angles be complement to each other?
(iii) Can two right angles he complement to each other?
(iv) Can two acute angles be supplementary?
(v) Can two obtuse angles be supplementary?
(vi) Can two right angles be supplementary?
(vii) Can two adjacent angles be supplementary?
(viii) Can two adjacent angles be complementary?
(ix) Can two obtuse angles be adjacent angles?
(x) Can an acute angle be adjacent to an obtuse angle?
(xi) Can two acute angles form a linear pair?
(xii) can two obtuse angles form a linear pair?
(xiii) Can two right angles form a linear pair?

Which of the following statements are true., (T) and which are false (F)?

(i) Angles forming a linear pair are supplementary.
(ii) If two adjacent angles are equal, then each angle measures $90^{\circ}$ .
(iii) Angles forming a linear pair can both be acute angles.
(iv) If angles forming a linear pair are equal, then each of these angles is of measure $90^{\circ}$ .

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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 correct but statement 1 is incorrect. 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 correct but statement $1$ is incorrect.

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.