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1.4

1.4. Angles and Their Measures. Vocabulary Review:. B. ∠ABC. A. C. B. A. C. B. Adjacent Angles. Two angles that share a common vertex and side but have no common interior points. Name the A djacent Angles Congruent Angles: Angles that have the same degree measure.

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1.4

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  1. 1.4 Angles and Their Measures

  2. Vocabulary Review: B ∠ABC A C B A C B

  3. Adjacent Angles • Two angles that share a common vertex and side but have no common interior points. Name the Adjacent Angles • Congruent Angles: • Angles that have the same degree measure

  4. Types of Angles

  5. Example 1: Name the angles in the figure M N O P ∠PNM ∠MNP ∠PNO ∠ONP ∠MNO ∠ONM

  6. Example 2) Name the angles in the figure. D C F E ∠CDE ∠EDC ∠CDF ∠FDC ∠EDF ∠FDE

  7. Example 3) In the figure above, M CDE = 62o and m EDF = 18o. Find the measure of CDF. D 62o 18o C F E ∠CDF = 62 + 18 ∠CDF =800

  8. Example 4) The backyard of a house is illuminated by a light fixture that has two bulbs. Each bulb illuminates an angle 120o. If the angle illuminated only the right bulb is 35o, what is the angle illuminated by both bulbs? Bulbs 120o 120o 35o Middle angle = 120 – 35 = 85o

  9. y x Example 5) Plot the points A(-3 , -1), B (-1, 1), C(2, 4), D(2,1), and E(2,-2). Classify the following angles as acute, right, obtuse, or straight. C B D A E a) b) c) d) Acute Right Straight Obtuse (About 45o) (About 90o) (180o) (About 120o)

  10. Example 6) Draw 5 points A, B, C, D and E so that all four statements are true: angles AEC and BEC are adjacent angle AEB is obtuse D is on the exterior of angle AEB Angle DEC is a right angle A C D B E

  11. Example 7) Angle JKL is a straight angle and JKM is 115o. H is in the interior of JKM. HKL is 130o. Find the measure of HKM K L J 115o 130o H M HKM = 130 - 115 = 65o

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