when two lines intersect,do they always form a linear pair?

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Solution

Yes, its true. There will be 4 such linear pairs formed when two lines intersect.

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Similar questions

Q. Pairs of linear pair created when two lines intersect at a point

Q. Vertically opposite angles do not form a linear pair but they are always equal.

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.

Which of the following pair of angles formed are not equal (always) when a transversal intersects two parallel lines?

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 _______.

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