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Understanding Angles: Measures, Types, and Angle Addition Postulate

This guide covers the essential concepts of angles, including their construction, naming conventions, and measurement types. Angles are formed by two rays that share a common endpoint, known as the vertex. The guide categorizes angles into four types: acute (0° to 90°), obtuse (90° to 180°), right (90°), and straight (180°). Additionally, it introduces the Angle Addition Postulate, which states that if point A lies within angle XYZ, then the sum of the angles AXY and AYZ equals the measure of angle XYZ. Homework assignments are provided for practice.

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Understanding Angles: Measures, Types, and Angle Addition Postulate

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  1. 1.6 Angles and Their Measures Pg 35

  2. Angles (in your booklet) • Made of two rays that share an endpoint • The common endpoint is the vertex of the angle • The rays are the sides of the angle • When naming an angle, the vertex is always the middle letter (unless it is the only letter) • A point from each of the two sides are the first and last letters • Can also be named by a number

  3. Textbook pg 35 prob 1-3

  4. Types of Angles (In Your Booklet) • Acute • Obtuse • Right • Straight

  5. Types of Angles • Acute – greater than 0o, less than 90o • Obtuse – greater than 90o, less than 180o • Right – 90o • Straight – 180o

  6. Angle Addition Postulate • If A is in the interior of <XYZ, then m < XYA + m < AYZ = m < XYZ X A Z Y

  7. Textbook pg 37 prob 4-6

  8. Homework: • Assignment # 6 • Textbook page 38 problems 1-20, 24-29

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