Given that two lines are parallel and third line intersect both the lines. Two angles lie on the inner side of the parallel lines and same side of transversal lines. Sum of these two angles is $180^{o}$ . These angles areangles

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Solution

Two angles that lie on the inner side of the parallel lines and same side of transversal lines are known as Co-Interior angles.

Sum of co-interior angles is $180^{o}$

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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 ...

Q. The angles that lie inside the two parallel lines and on the same side of the transversal line are called -

Q. (i) If a transversal intersects two parallel lines then state the relation between alternate angles.
(ii) If each of the two parallel lines are parallel to the third line then what is the relation between them?
(iii) If a transversal intersects two parallel lines and the corresponding sides of two angles are parallel then what is the relation between these angles?
(iv) If AB is a line and P is a point outside it then how many lines can be drawn through P and Parallel to AB?
(v) If a transversal intersects two parallel lines such that the ratio between the interior angles on one of its side is 2:7, then find the measure of the greater angle.

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.

If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are

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Given that two lines are parallel and third line intersect both the lines. Two angles lie on the inner side of the parallel lines and same side of transversal lines. Sum of these two angles is 180o. These angles areangles

Two angles that lie on the inner side of the parallel lines and same side of transversal lines are known as Co-Interior angles. Sum of co-interior angles is 180o

Given that two lines are parallel and third line intersect both the lines. Two angles lie on the inner side of the parallel lines and same side of transversal lines. Sum of these two angles is $180^{o}$ . These angles areangles

Two angles that lie on the inner side of the parallel lines and same side of transversal lines are known as Co-Interior angles.

Sum of co-interior angles is $180^{o}$