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Angles

Angles. ( def ) An ACUTE ANGLE is an angle w/ a MEASURE less than 90° ( def ) A Right angle is an angle w/ a MEASURE = 90° ( def ) An Obtuse angle is an angle w/ a MEASURE greater than 90 ° but less than 180 °. ( def ) A Straight angle is an angle w/ a MEASURE = 180°

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Angles

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  1. Angles (def) An ACUTE ANGLE is an angle w/ a MEASURE less than 90°(def) ARight angle is an angle w/ a MEASURE = 90°(def) An Obtuse angle is an angle w/ a MEASURE greater than 90° but less than 180 °.(def) A Straight angle is an angle w/ a MEASURE = 180° Interior of angle Exterior of angle

  2. To Name an Angle- either use 3 letters or number it, never use only 1 letter unless there is only one angle with that vertex. If you use three letters, the vertex must be the middle letter. A or never use in this type of problem since more than one angle has a vertex of B. D 1 E B

  3. (def)Adjacent Angles are 2 coplanar angles that share a common ray and vertex but no common interior pts. (def)An Angle Bisectoris a ray that divides an angle into 2 congruent angles. A D C B

  4. Angle Addition Postulate- If D is in the interior of , then i.e. The sum of the parts = whole A D C B

  5. (def) Supplementary angles are 2 angles whose measures have a sum of 180° or 145° 35°

  6. (def)Complementary angles are 2 angles whose measures have a sum of 90° or 50° 40°

  7. (def) Linear Pair angles are 2 adjacent angles whose non-common sides form a line. Linear Pair Theorem- If 2 angles form a linear pair, then they are supplementary.

  8. (def) Vertical Angles are 2 nonadjacent angles formed by intersecting lines 1 4 2 3 Vertical Angles Theorem- If 2 angles are vertical angles, then they are congruent.

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