Document Sample

Geometry 3.4B Regular Polygon Angles Name ___________________________ Completed:____ Correct:____ Grade:_____/10 Period _______ Date ______________ Find the measures of the angles of the Using the information in the drawings, find the triangles. value of x. (5x 2) 1. 2. 2x (x 3) 7. 8. (x 11) 20 x (x 10) (x 2) 2x (6x 4) (x 29) x 2x (4x 20) (7x 6) x x = 10 x = 20 x = 100 x = 69 angles: 64°, 64°, 52° angles: 31°, 49°, 100° x 9. Find the measure of an interior and an 3. (3x 10) 4. 2x exterior angle of a regular hexagon. x 75 45 Each Interior = 120 (x 10) 70 Each Exterior = 60 (5x 20) (x 10) (3x 17) 10. Find the measure of an interior and an exterior angle of a regular decagon. x = 47.5 x = 79.7 Each Interior = 144 Each Exterior = 36 x 11. Find the measure of an interior and an 5. 2x x 6. exterior angle of a regular nonagon. (2x 5) Each Interior = 140 2x (x 30) Each Exterior = 40 30 40 Using the given information in the following drawings to find the value of x and y. 12. 13. 14. 70 x 55 x = 93 x = 75 x y 120 y x y x = 125 x = 60 x = 117.5 y = 55 y = 60 y =62.5 15. Use the drawing to find the measure of 20. Archaeologist Eartha Diggs has uncovered a 1, 2 and 3. m1 3x 3, m2 y , piece of ceramic plate. The original plate m3 7x 15 appears to have been in the shape of a regular polygon. If the original plate was a regular 16-gon, it was probably a ceremonial 1 dish from the 3rd Century Ho Ping dynasty. 2 If it was a regular 18-gon, it was probably a 3 palace dinner plate from the 12th century Wai Ting dynasty. Eartha measures each of the sides of her piece and finds that they are all the same size. She conjectures that all X=3 the sides of the original whole plate were Angle 1 = angle 3 = 6° the same size. She measures each of the angles on the piece and finds that they are Angle 2 = 174° all the same size. She conjectures that all the angles on the original whole plate were equal. If each angle measures , what dynasty did the plate most likely come from? Exterior = 180-160 = 20 Find the number of sides given the measure of an exterior angle of a regular polygon. N = 360/20 = 18 16. Measure of an exterior angle is 72 Therefore, Eartha’s plate N=5 was from the 12th century Wai Ting dynasty. 17. Measure of an exterior angle is 40. N=9 Find the number of sides given the measure of an interior angle of a regular polygon. 18. Measure of an interior angle is 144 N = 10 19. Measure of an interior angle is 150 N = 12

DOCUMENT INFO

Shared By:

Categories:

Tags:

Stats:

views: | 120 |

posted: | 9/7/2012 |

language: | Latin |

pages: | 2 |

OTHER DOCS BY lanyuehua

How are you planning on using Docstoc?
BUSINESS
PERSONAL

By registering with docstoc.com you agree to our
privacy policy and
terms of service, and to receive content and offer notifications.

Docstoc is the premier online destination to start and grow small businesses. It hosts the best quality and widest selection of professional documents (over 20 million) and resources including expert videos, articles and productivity tools to make every small business better.

Search or Browse for any specific document or resource you need for your business. Or explore our curated resources for Starting a Business, Growing a Business or for Professional Development.

Feel free to Contact Us with any questions you might have.