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Angles

Angles. Acute angle ( def ) - angle measure less than 90° Right angle ( def ) - angle measure= 90° Obtuse angle ( def ) - angle measure greater than 90° Straight angle ( def ) - angle = 180° Interior of angle Exterior of angle.

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Angles

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  1. Angles Acute angle (def)- angle measure less than 90°Right angle (def)- angle measure= 90°Obtuse angle (def)- angle measure greater than 90°Straight angle (def)- angle = 180° Interior of angle Exterior of angle

  2. To Name an Angle- A. Use 3 letters (vertex in the middle)B. Number it. C. IF there is ONLY ONE angle with that vertex, you may use a single letter (the vertex). A D is NOT appropriate for this sketch b/c vertex 1 there are 3 angles with the vertex B. 2 C Congruent angles- angles that have = measures. - measure of an angle

  3. Adjacent Angles (def)-2 coplanar angles that share a common ray. They must have a common vertex.

  4. Complementary <‘s are 2 angles whose measures have a sum of 90. m<1 + m<2 = 90 • Supplementary <‘s are 2 angles whose measures have a sum of 180. m<1 + m<2 = 180

  5. ° COMPLEMENTARY ANGLES may or may not be adjacent. COMPLEMENTARY ANGLES may or may not be or 50° 40°

  6. SUPPLEMENTARY ANGLES may or may not be adjacent.SUPPLEMENTARY ANGLES may or may not be or 145° 35°

  7. Linear Pair (def)-adjacent angles whose non-common sides form a line. (describes) • Linear Pairs are Supplementary. If <1 and <2 form a linear pair, then they are supplementary. m<1 + m<2 = 180

  8. Angle Bisector(def)- is a ray that divides the angle into 2 congruent angles. A D B C

  9. Angle Addition Postulate- sum of the parts = whole The angles must be adjacent. A D B C

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

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