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  1. Home
  2. 12th grade
  3. Geometry
  4. Exercise : Identify acute, obtuse, straight, reflex and right angles

Identify acute, obtuse, straight, reflex and right angles Geometry

Determine whether the represented angles are acute, obtuse, straight, right or reflex.

-

Recall that:

  • \widehat{A} is acute if \widehat{A} \lt 90^\circ
  • \widehat{A} is a right angle if \widehat{A} = 90^\circ
  • \widehat{A} is obtuse if 90^\circ \lt \widehat{A} \lt 180^\circ
  • \widehat{A} is a straight angle if \widehat{A} = 180^\circ
  • \widehat{A} is a reflex if 180 \lt \widehat{A} \lt 360

The angle is obtuse.

-

Recall that:

  • \widehat{A} is acute if \widehat{A} \lt 90^\circ
  • \widehat{A} is a right angle if \widehat{A} = 90^\circ
  • \widehat{A} is obtuse if 90^\circ \lt \widehat{A} \lt 180^\circ
  • \widehat{A} is a straight angle if \widehat{A} = 180^\circ
  • \widehat{A} is a reflex if 180 \lt \widehat{A} \lt 360

The angle is acute.

-

Recall that:

  • \widehat{A} is acute if \widehat{A} \lt 90^\circ
  • \widehat{A} is a right angle if \widehat{A} = 90^\circ
  • \widehat{A} is obtuse if 90^\circ \lt \widehat{A} \lt 180^\circ
  • \widehat{A} is a straight angle if \widehat{A} = 180^\circ
  • \widehat{A} is a reflex if 180 \lt \widehat{A} \lt 360

The angle is right.

-

Recall that:

  • \widehat{A} is acute if \widehat{A} \lt 90^\circ
  • \widehat{A} is a right angle if \widehat{A} = 90^\circ
  • \widehat{A} is obtuse if 90^\circ \lt \widehat{A} \lt 180^\circ
  • \widehat{A} is a straight angle if \widehat{A} = 180^\circ
  • \widehat{A} is a reflex if 180 \lt \widehat{A} \lt 360

The angle is reflex.

-

Recall that:

  • \widehat{A} is acute if \widehat{A} \lt 90^\circ
  • \widehat{A} is a right angle if \widehat{A} = 90^\circ
  • \widehat{A} is obtuse if 90^\circ \lt \widehat{A} \lt 180^\circ
  • \widehat{A} is a straight angle if \widehat{A} = 180^\circ
  • \widehat{A} is a reflex if 180 \lt \widehat{A} \lt 360

The angle is straight.

-

Recall that:

  • \widehat{A} is acute if \widehat{A} \lt 90^\circ
  • \widehat{A} is a right angle if \widehat{A} = 90^\circ
  • \widehat{A} is obtuse if 90^\circ \lt \widehat{A} \lt 180^\circ
  • \widehat{A} is a straight angle if \widehat{A} = 180^\circ
  • \widehat{A} is a reflex if 180 \lt \widehat{A} \lt 360

The angle is obtuse.

-

Recall that:

  • \widehat{A} is acute if \widehat{A} \lt 90^\circ
  • \widehat{A} is a right angle if \widehat{A} = 90^\circ
  • \widehat{A} is obtuse if 90^\circ \lt \widehat{A} \lt 180^\circ
  • \widehat{A} is a straight angle if \widehat{A} = 180^\circ
  • \widehat{A} is a reflex if 180 \lt \widehat{A} \lt 360

The angle is acute.

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See also
  • Course : Angles
  • Exercise : Find the measures of corresponding angles when the lines are parallel
  • Exercise : Find the measure of interior angle same side when enough information is given
  • Exercise : Use properties of the bisector to find measures
  • Exercise : Complete proofs involving angles
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