If two parallel lines are intersected by a transversal, then alternate interior angles are equal.

True

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False

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Solution

The correct option is A
True

The parallel lines are cut in opposite manner inside by transversal so the alternate interior angles are equal.

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Similar questions

If two parallel lines are intersected by a transversal then, pair of alternate interior angles are:

Which of the following statements are true (I) and which are false (F)? Give reasons.
(i) If two lines are intersected by a transversal, then corresponding angles are equal.
(ii) If two parallel lines are intersected by a transversal, then alternate interior angles are equal.
(iii) Two lines perpendicular to the same line are perpendicular to each other.
(iv) Two lines parallel to the same line are parallel to each other.
(v) If two parallel lines are intersected by a transversal, then the interior angles on the same side of the transversal are equal.

Q. If alternate interior angles are equal, transversal intersects parallel lines.

Q. Alternate interior angles are angles formed when two parallel or non-parallel lines are intersected by a transversal.

Q. Read the following statements which are taken as axioms :
(i) If a transversal intersects two parallel lines, then corresponding angles are not necessarily equal.
(ii) If a transversal intersect two parallel lines, then alternate interior angles are equal.
Is this system of axioms consistent?

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If two parallel lines are intersected by a transversal, then alternate interior angles are equal.

The correct option is A True The parallel lines are cut in opposite manner inside by transversal so the alternate interior angles are equal.

The correct option is A
True

The parallel lines are cut in opposite manner inside by transversal so the alternate interior angles are equal.