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Geometry 8.1 Done.notebook January 30, 2017 Extra CREDIT ON DESK!! 8.1 Angle Measures in Polygons Objective iWBAT: find the measure of interior and exterior angles of convex polygons. Bell Work 1. 2. Factor Jan 2204:52 PM Announcements Heart of a Lion Differences Creating Account for ACT Make Up Tests C7 Tests Jan 1410:12 AM 1 Geometry 8.1 Done.notebook January 30, 2017 Diagonals - Sum of interior angles Jan 239:46 AM Polygons Interior Angles Theorem The sum of the measures of the interior angles of a convex ngon. (n 2) 180 n = # of sides of the polygon Jan 272:39 PM 2 Geometry 8.1 Done.notebook # of Sides January 30, 2017 Polygon Sum of interior angles 3 4 5 6 7 8 9 10 11 12 Jan 2510:01 AM Ex 1: Find x. Jan 272:45 PM 3 Geometry 8.1 Done.notebook January 30, 2017 Ex 2: Find the sum of the measures of the interior angles of a convex 25-gon. Jan 288:07 AM Ex 3: The sum of the measures of the interior angles of a convex polygon is 2340°. Classify the polygon by the number of sides. Jan 288:04 AM 4 Geometry 8.1 Done.notebook January 30, 2017 Ex 4: The sum of the measures of the interior angles of a convex polygon is 3960°. Classify the polygon by the number of sides. Jan 288:06 AM The sum of the measures of the exterior angles of a convex polygon is 360°. Always!! No matter the # of sides!! Jan 289:32 AM 5 Geometry 8.1 Done.notebook January 30, 2017 Ex 5: What is the value of x? Jan 289:37 AM Ex 6: A stop sign is shaped like a regular octagon. Find the measure of ONE interior angle and ONE exterior angle of that stop sign. Jan 289:46 AM 6 Geometry 8.1 Done.notebook January 30, 2017 Ex 7: Find the measure of ONE interior angle and ONE exterior angle of a REGULAR dodecagon. Jan 277:51 AM 8.1 Practice Problems 1. Classify the polygon by 2. Find the value of x. the number of sides, given the sum of the measures of the interior angles of a convex polygon. Due 1/31 3. Find the value of x. a. 5400° b. 8640° 4. 5. 6. 7. Find the measure of ONE interior angle and ONE exterior angle of a REGULAR 45-gon. Find the measure of ONE interior angle and ONE exterior angle of a REGULAR 60-gon. Jan 2712:54 PM 7