Multiple choice general knowledge math & puzzles

What is true about the statement "If two angles are right angles, the angles have equal measure" and its converse "If two angles have equal measure then the two angles are right angles"?

  1. The statement is true but its converse is false

  2. The statement is false but its converse is true.

  3. Both the statement and its converse are false.

  4. Both the statement and its converse are true.

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A Correct answer
Explanation

The original statement is true - all right angles measure 90 degrees, so any two right angles have equal measure. However, its converse is false - two angles can have equal measure without being right angles (they could both be 30 degrees, 45 degrees, etc.). This demonstrates that a true conditional does not guarantee a true converse.