Q69 of 93 Page 6

(v) If two parallel lines are intersected by a transversal, then the interior angles on the same side of the transversal are equal.  

(i) False. If two parallel lines are cut by a transversal, only then the corresponding angles will be equal.
(ii) True. If two parallel lines are cut by a transversal, then the alternate angles will be equal.
(iii) False. Two lines perpendicular to the same line are parallel to each other.
(iv) True.
(v) False. If two parallel lines are intersected by a transversal, then the interior angles on the same side of the transversal are supplementary.

More from this chapter

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67 Prove that two lines that are respectively perpendicular to two intersecting lines intersect each other. 68 In figure, m and n are two plane mirrors parallel to each other. Show that the incident ray CA is parallel to the reflected ray BD. 70 Fill in 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) If a transversal intersects a pair of lines in such a way that a pair of alternate angles are equal, then the lines are ………….
(v) Two lines parallel to the same line are ……………to each other.
(vi) If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of the transversal is 180°,
then the lines are …………. 71 One of the angles of a triangle is 65°. Find the remaining two angles, if their difference is 25°.