Which one of the following is not correct?

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

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If two lines are intersected by a transversal, then the sum of the interior angles on the either side of transversal is .

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

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Two parallel lines never meet.

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Solution

The correct option is B
If two lines are intersected by a transversal, then the sum of the interior angles on the either side of transversal is .

If two lines are intersected by a transversal, then the sum of the interior angles on the same side of transversal is $180^{\circ}$ .

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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 ...

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

If two parallel lines are intersected by a transversal, then the interior angles on the same side of the transversal are 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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Which one of the following is not correct?

The correct option is B If two lines are intersected by a transversal, then the sum of the interior angles on the either side of transversal is . If two lines are intersected by a transversal, then the sum of the interior angles on the same side of transversal is 180∘.

The correct option is B
If two lines are intersected by a transversal, then the sum of the interior angles on the either side of transversal is .

If two lines are intersected by a transversal, then the sum of the interior angles on the same side of transversal is $180^{\circ}$ .