The pair of angles that occupy the same relative position at each intersection of a transversal line with two parallel lines are called angle.

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The angles that occupy the same relative position at each intersection of a transversal line with two parallel lines are called the corresponding angle.

In the following figure, $∠ E P A$ and $∠ E O C$ are one pair of corresponding angles.

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Q. The angles that occupy the same relative position at each intersection of a transveral with two parallel lines are corresponding angles.

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 ...

If two parallel lines are intersected by a transversal, prove that the bisectors of the interior angles on the same side of transversal intersect each other at right angles.

Q. If two parallel lines are intersected by a transversal, then each pair of corresponding 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.

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The pair of angles that occupy the same relative position at each intersection of a transversal line with two parallel lines are called angle.

The angles that occupy the same relative position at each intersection of a transversal line with two parallel lines are called the corresponding angle. In the following figure, ∠EPA and ∠EOC are one pair of corresponding angles.

The angles that occupy the same relative position at each intersection of a transversal line with two parallel lines are called the corresponding angle.

In the following figure, $∠ E P A$ and $∠ E O C$ are one pair of corresponding angles.