If a transversal intersects two parallel lines, then, which of the following angles are equal?

Pair of corresponding angles are equal

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All pairs of angles are equal

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Pair of alternate interior angles are equal

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All angles are equal

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Solution

The correct option is C
Pair of alternate interior angles are equal

When a transversal intersects two parallel lines, the corresponding angles are equal. Also the alternate interior angles are equal.

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Similar questions

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. Fill in the blanks in each of the following to make the statement true:

(i) If two parallel lines are intersected by a transversal, then each pair of corresponding angles are ...
(ii) If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are ....
(iii) Two lines perpendicular to the same line are ... to each other.
(iv) Two lines parallel to the same line are ... to each other.
(v) If a transversal intersects a pair of lines in such away that a pair of alternate angles are equal, then the lines are ...
(vi) If a transversal intersects a pair of lines in such away that the sum of interior angles on the same side of transversal is 180°, then the lines are ...

Which of the angles are not equal if a transversal intersects two parallel lines?

Q. When a transversal intersects two parallel lines, then the alternate angles formed are always equal.

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 a transversal intersects two parallel lines, then, which of the following angles are equal?

The correct option is C Pair of alternate interior angles are equal When a transversal intersects two parallel lines, the corresponding angles are equal. Also the alternate interior angles are equal.

The correct option is C
Pair of alternate interior angles are equal

When a transversal intersects two parallel lines, the corresponding angles are equal. Also the alternate interior angles are equal.