A transversal crosses two straight lines so that the co-interior (same-side interior) angles are 90° and 90°. What does Euclid's fifth postulate predict about these two lines?

Question

Accepted Answer

They do not meet (they are parallel). Here the sum is 90 + 90 = 180 deg (exactly two right angles), not less than two right angles, so the condition for meeting fails. The lines are parallel.

A transversal crosses two straight lines so that the co-interior (same-side interior) angles are 90° and 90°.
What does Euclid's fifth postulate predict about these two lines?

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More Class 9 Euclid's Postulates practice

A transversal crosses two straight lines so that the co-interior (same-side interior) angles are 90° and 90°.What does Euclid's fifth postulate predict about these two lines?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Euclid's Postulates practice

A transversal crosses two straight lines so that the co-interior (same-side interior) angles are 90° and 90°.
What does Euclid's fifth postulate predict about these two lines?