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Math 1 March 16 th

Math 1 March 16 th. What you need today in class: Pick up a calculator Turn in Homework – page 13. WARM-UP: You DO NOT have to copy the problem, but do show your work!! Calculate the sum of the interior angles of a 15-gon.

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Math 1 March 16 th

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  1. Math 1 March 16th What you need today in class: • Pick up a calculator • Turn in Homework – page 13 WARM-UP: You DO NOT have to copy the problem, but do show your work!! Calculate the sum of the interior angles of a 15-gon. Calculate the measure of one angle of a regular 18-gon.

  2. Announcement for Freshman: • You must pass your MATH class and your ENGLISH class to be promoted to 10th grade. • So, if you fail MATH OR ENGLISH, you will stay in 9th grade next year.

  3. If a convex polygon has n sides, then the sum of the measure of the interior angles is (n – 2)(180°)

  4. Ex. 1 Use the regular pentagon to answer the questions. • Find the sum of the measures of the interior angles. • Find the measure of ONE interior angle 540° 108°

  5. Interior Angles Exterior Angles Two more important terms

  6. 2 1 3 5 4 In any convex polygon, the sum of the measures of the exterior angles, one at each vertex, is 360°.

  7. In any convex polygon, the sum of the measures of the exterior angles, one at each vertex, is 360°. 1 3 2

  8. If any convex polygon, the sum of the measures of the exterior angles, one at each vertex, is 360°. 1 2 4 3

  9. Ex. 2 Find the measure of ONE exterior angle of a regular hexagon. 60°

  10. Ex. 3 Find the measure of ONE exterior angle of a regular heptagon. 51.4°

  11. Go to page 14

  12. Assignment • Page 18 • Questions 1-12 and 15-18

  13. Ex. 4 Each exterior angle of a polygon is 18. How many sides does it have? n = 20

  14. Ex. 5 The sum of the measures of five interior angles of a hexagon is 535. What is the measure of the sixth angle? 185°

  15. Ex. 6 The measure of the exterior angle of a quadrilateral are x, 3x, 5x, and 3x. Find the measure of each angle. 30°, 90°, 150°, and 90°

  16. Ex. 7 If each interior angle of a regular polygon is 150, then how many sides does the polygon have? n = 12

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