Determine whether each statement is always, sometimes, or never true. (Lesson 1-5 )
If two angles are supplementary, then one of the angles is obtuse.

Respuesta :

If two angles are supplementary, then one of the angles is obtuse: Never TRUE

What do we mean by obtuse angles?

  • An obtuse angle is one that is less than 180 degrees but greater than 90 degrees.
  • Obtuse angle degrees include 110°, 135°, 150°, 179°, 91°, and others.
  • As a result, all angles ranging from 90° to 180° are obtuse.
  • The hypothesis that if two angles are supplementary, one is obtuse and the other acute is false.
  • This is due to a situation in which two angles are supplementary but neither is acute or obtuse.
  • When we have two right angles, we get this.
  • A supplementary angle cannot be formed by two obtuse angles.
  • Obtuse angles are defined as angles that are greater than 90° in length. 
  • The sum of two obtuse angles will be larger than 180°.
  • When we add obtuse angles, the property of supplementary angles is violated.

Therefore, the statement "if two angles are supplementary, then one of the angles is obtuse" is never TRUE.

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