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1-4: Measuring Angles

1-4: Measuring Angles. Today’s Objectives. Name angles three different ways Use The Protractor Postulate to calculate measures of angles. Naming Angles. Angles – formed by two rays with the same endpoint Rays are sides of angles The vertex is the endpoint of the rays. Naming it:. A.

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1-4: Measuring Angles

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  1. 1-4: Measuring Angles

  2. Today’s Objectives • Name angles three different ways • Use The Protractor Postulate to calculate measures of angles

  3. Naming Angles • Angles – formed by two rays with the same endpoint • Rays are sidesof angles • The vertex is the endpoint of the rays Naming it: A Interior Exterior C 1 B

  4. Classifying Angles x° x° x° x° Right Angle Acute Angle Obtuse Angle Straight Angle

  5. Protractor Postulate • Postulate 1-7 • Consider and a point on one side of . Every ray of the form can be paired one to one with a real number from 0 to 180. Same idea as Ruler Postulate A B C

  6. Measuring Angles • Find the measureof each angle. Then classify each angle. = 120° obtuse A D = 60° acute E = 90° right C B

  7. Congruent Angles • Congruent Angles – angles with the same measure • Remember, congruent is not the same as equal! ∠A ≅ ∠B A B

  8. Angle Addition Posutlate • Angle Addition Postulate - if point B is in the interior of , then . = 35 + 95 = 130° B A 95° 35° C O

  9. Example • If what is and ? S T R Q

  10. Example X W Y Z

  11. Midpoint Example Cut in half R B C P A

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