Consider the statement: 'The sum of the three angles of any triangle is 180°.' This result is a consequence that holds in geometry where which postulate is true?

Question

Accepted Answer

Euclid's fifth postulate. The angle-sum 180° for a triangle is equivalent to the fifth postulate; in non-Euclidean geometries the sum differs from 180°.

Consider the statement: 'The sum of the three angles of any triangle is 180°.'
This result is a consequence that holds in geometry where which postulate is true?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 The Fifth Postulate practice

Consider the statement: 'The sum of the three angles of any triangle is 180°.'This result is a consequence that holds in geometry where which postulate is true?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 The Fifth Postulate practice

Consider the statement: 'The sum of the three angles of any triangle is 180°.'
This result is a consequence that holds in geometry where which postulate is true?