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Question 6

Two straight lines cross each other at one point, forming four angles. One of those four angles measures 63 degrees. Select all the statements about this crossing that must be true.

  1. All four angles at the crossing measure 63 degrees.
  2. The angle vertically opposite the 63 degree angle also measures 63 degrees.Bonne réponse
  3. The four angles at the crossing add up to 360 degrees.Bonne réponse
  4. The angle vertically opposite the 63 degree angle measures 27 degrees.

Explication

Where two lines cross, the angles facing each other across the crossing point are always equal, so the partner of the 63 degree angle also measures 63 degrees, and all four angles still fill one complete turn of 360 degrees. Pairing 63 with 27 treats facing angles as two parts of a right angle, which is not what a crossing of straight lines produces.

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Question 6: Two straight lines cross each other at one point, forming… · Geometry Basics · Questena