PPT-Angles and Their Measure

Chapter 61 Angles are formed by two rays that have a common endpoint vertex The first ray you draw is called the initial side The second ray you draw is called the terminal side Initial Side. Identify the type of angle.. 1.. 70°. 2.. 90°. 3.. 140°. 4.. 180°. . acute. right. obtuse. straight. SPI 6.4.2: I will learn to understand relationships of angles. 8.3 Angle Relationships. Vocabulary. Central Angles. Central Angle. (of a circle). Central Angle. (of a circle). NOT A. Central Angle. (of a circle). A . central angle. is an angle whose vertex is the CENTER of the circle. CENTRAL ANGLES AND ARCS. Given circle of radius . r. , a radian is the measure of a central angle subtended by an arc length . s. equal to r. . The radian measure of an arbitrary angle. There are radians in a angle. Why? . Angles. Geometry. Objectives/Assignment. Use . inscribed angles to solve problems.. Use properties of inscribed polygons. .. Review. Definitions. An . inscribed angle. is an angle whose vertex is on a circle and whose sides contain chords of the circle. .  .  . Today’s Objectives:. Students will be able to find and use the sum of the measures of the interior angles of a polygon. . Students will be able to find and use the sum of the measures of the exterior angles of a polygon. . • Two rays with the same endpoint. • The rays are the sides . of the angle. .. • The common endpoint . of the 2 rays is the . vertex of the angle.. Name the sides and vertex of this angle:. 9.10.15. Do Now. Define the following:. Acute angle. Straight angle. Right angle. Obtuse angle. Ray. Line. Line segment. How do you prove you are right?. Proving You . A. re Right. We write an explanation of our thinking or thought process. What: Sum of angles on straight lines. How: Discovering how to measure angles at different points on straight lines. Why: . A. o. B. 10. 20. 30. 40. 50. 60. 70. 80. 90.  . o.  . A. O. B. A. O. B. Unit 3: This unit Introduces Transversals, and angles based on transversals, including corresponding angles, Same Side Interior Angles, Alternate Exterior and Alternate Interior Angles, and the unique properties of Perpendicular Transversals. . Concept 1. Find the Interior Angles Sum of a Polygon. A. . Find the sum of . the measures . of the interior angles of a convex nonagon.. A nonagon has nine sides. Use the Polygon Interior Angles Sum Theorem to find the sum of its interior angle measures.. Recall: A . Central Angle . has the same measure as the arc in intercepts. .. .. 100°. 100°. An. inscribed angle . is . not. equal to the arc it intercepts. .. B. A. C. Inscribed . Angle. . - An angle in a circle whose . Measure angles with a protractor. Identify and use the angle addition postulate. Warm-Up: . Find the indicated value. AC = 20; AB = _____. A. B. C. x-4. 2x 3. Vocabulary:. Degree:. The most common unit of angle measure.. Warm Up. 1.. . Draw opposite rays . . . and . .. . Solve . each equation.. 3.. 2. x. 3 . x. – 4 3. x. – 5 = . 180 . .  . 2.. Draw . . . and . , . where . A. , . . B. , and . adjacent angles. complementary angles. supplementary angles. Congruent angles. have the same measure.. Vertical angles. are formed opposite each other when two lines intersect. Vertical angles have the same measure, so they are always congruent..