PPT-Lesson 1-5: Pairs of Angles

1 Warm UP If m 1 23 º and m 2 32 º find the measures of all other angles Answers Adjacent Vertical Supplementary and Complementary Angles Adjacent angles are side by side and share a common ray. Exterior Angles and Triangles. An . exterior angle. is formed by one side of a triangle and the extension of another side . (i.e. . . 1 ).. The interior angles of the triangle not adjacent to a given exterior angle are called the . 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. Definitions. Complementary angles – the sum of their measures is 90˚. Each angle is the compliment of the other. A. B. 32˚. 58˚. Definitions. Supplementary angles – the sum of their measures is 180˚. Hubarth. Geometry. 10.7 Measure . of an Inscribed Angle. .. C. A. B. D. Ex 1 Use Inscribed Angles. a.. m. . T.  . mQR. b.. Find the indicated measure in. . P. .. M T = . mRS. =. . Thursday, October 17. Math Message. Label unit 3.9 and the date at the top of your Math Response. Complete the following in your Math Notebook:. Using a straightedge, draw a big triangle in your notebook. 1. Lesson 1-4. Angles. Lesson 1-4: Angles. 2. Angle and Points. An Angle is a figure formed by two rays with a common endpoint, called the . vertex. .. vertex. ray. ray. Angles can have points in the interior, in the exterior or on the angle.. Geometry Unit 4. Angles of A Triangle. Content Objective. : Students will be able to identify the properties and classifications of specific triangles, using them to solve problems.. Language Objective. TeacherTwins©2014. Warm Up. Identify the pairs of angles as complementary or supplementary or neither.. 1). 45. ◦ . and 45. ◦ . 2). 36. ◦. and 54. ◦. 3). 65. ◦. and 115. ◦. 4). 135.  .  . 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. . °). . . Some of these shapes do not have . all. right angles.. Some of these shapes do not have . any. congruent sides. What shapes am I thinking of. ?. Take away shapes that don’t fit. Shapes that have all right angles don’t fit:. 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.  . Lesson Aim: . How do we prove and apply theorems about . angles. ?.  . Lesson Objectives:. SWBAT . To prove and apply theorems about angle.. NYS Content Strand.  . G.PS.4. Construct various types of reasoning, arguments, justifications and methods of proof for problems.. Protractor: . What do you notice? . Task One: . Look at the protractor. Write down everything that you notice about the protractor. Try and come up with at least . 10 facts. Think about . number patterns . The vertical distance from rotary table to Point B is called a true vertical depth. The inclination angle ‘I’ is the angle between vertical and the wellbore. . The direction angle ‘A’ is specified as the azimuth between the geographic north and the projection of a wellbore on a horizontal plane..