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Math 1 1. March 19th What you need today in class: Pick up a calculator and warm-up sheet 2. Turn in Homework – page 18 WARM-UP (Don’t copy question – just show work and give answer) 1. Find the measure of ONE exterior angle of a regular octagon. 2. Find the measure of ONE interior angle of a 11-gon. CHECK HOMEWORK – FRONT 1. CONVEX POLYGON 2. CONCAVE POLYGON 3. NOT A POLYGON 4. QUADRILATERAL PENTAGON HEXAGON OCTAGON DECAGON N-GON 5. 180(n – 2) 6. 360O 7. 360°/360° 8. 720o/360o 9. 1440°/360° 10. 540o/360o 11. 1080°/360° 12. 2880o/360o 15. REGULAR 16. 60o/120o 17. 120°/60° 18. 144o/36o Summary Notes on Page 12 Interior Angle SUM ONE Interior Angle Exterior Angle SUM ONE Exterior Angle Ex. 4 Each exterior angle of a polygon is 18. How many sides does it have? sum of the exterior angles exterior angle number of sides 360 18 n n = 20 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° 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° Ex. 7 If each interior angle of a regular polygon is 150, then how many sides does the polygon have? n = 12 Notes: p. 16 A. INTERIOR ANGLES 1. How do you find the sum of ALL of the INTERIOR ANGLES of a polygon? A. INTERIOR ANGLES 1. How do you find the sum of ALL of the INTERIOR ANGLES of a polygon? 2. How do you find the measure of ONE INTERIOR ANGLE of a REGULAR polygon? A. INTERIOR ANGLES 1. How do you find the sum of ALL of the INTERIOR ANGLES of a polygon? 2. How do you find the measure of ONE INTERIOR ANGLE of a REGULAR polygon? 3. How do you find the measure of ONE INTERIOR ANGLE of a non-regular polygon? B. EXTERIOR ANGLES 1. The sum of the measures of ALL the EXTERIOR ANGLES of a polygon is always ______. B. EXTERIOR ANGLES 1. The sum of the measures of ALL the EXTERIOR ANGLES of a polygon is always ______. 2. How do you find the measure of ONE EXTERIOR ANGLE of a REGULAR polygon? C. FINDING AN INTERIOR & EXTERIOR ANGLE AT THE SAME TIME An interior angle and an exterior angle form a __________ ____________. C. FINDING AN INTERIOR & EXTERIOR ANGLE AT THE SAME TIME An interior angle and an exterior angle form a __________ ____________. 1st: Find the EXTERIOR ANGLE 2nd: Find the INTERIOR ANGLE using the linear pair relationship. a) Find the interior and exterior angle of a regular hexagon. HOMEWORK • PAGE 19