Euclid's fifth postulate states that if a straight line falling on two straight lines makes (P) angles on the same side of it taken together (Q) than two right angles, then the two straight lines, if produced indefinitely, meet on (R) side on which the sum of angles is (S) than two right angles.

(P) - interior, (Q) - less, (R) - opposite, (S) - greater.

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(P) - interior, (Q)-less, (R) - same, (S) - less.

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(P)-exterior, (Q)-greater, (R)-opposite, (S) - less.

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(P) - exterior, (Q) - less, (R) - same, (S)- greater.

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Solution

The correct option is B
(P) - interior, (Q)-less, (R) - same, (S) - less.

Explanation of the correct option
Euclid's fifth postulate states that If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of the angles is less than the two right angles.
Hence, the correct option is (b).

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Similar questions

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 ___
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(iv) Two lines parallel to the same line are to ___ each other.

(v) If a transversal intersects a pair of lines in such a way that a pair of alternate angles are equal, then the lines are ___
(vi) If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of transversal is $180^{0}$ , then the lines are ___

Q. If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is less than two right angles?

Q. Fill in the blank. If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is ___ two right angles.

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120^{o}

, then the two straight lines, if produced indefinitely, meet on the side on which the sum of angles is:

if a straight line falling on two straight makes the interiors angles on the same side of it , whose sum is 120 degree, then the two straight line, if produced indefinitely, meet on the same side on which the sum of angles is

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