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NAME DATE 6-1 PERIOD Skills Practice Angles of Polygons Find the sum of the measures of the interior angles of each convex polygon. 1. nonagon 2. heptagon 3. decagon The measure of an interior angle of a regular polygon is given. Find the number of sides in the polygon. 4. 108 5. 120 6. 150 Find the measure of each interior angle. A 7. 9. 8. L (2x + 20)° B P C 4 (2x + 16)° (x + 14)° 8 (3x - 10)° 10. 5 M (2x - 10)° (2x)° (2x - 15)° x° D Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. x° (2x - 15)° N % (2x + 16)° & (7x)° (7x)° * (4x)° (x + 14)° 6 (7x)° ) (4x)° ' (7x)° ( Find the measures of each interior angle of each regular polygon. 11. quadrilateral 12. pentagon 13. dodecagon Find the measures of each exterior angle of each regular polygon. 14. octagon Chapter 6 15. nonagon 16. 12-gon 71 Glencoe Geometry NAME DATE 6 -1 PERIOD Practice Angles of Polygons Find the sum of the measures of the interior angles of each convex polygon. 1. 11-gon 2. 14-gon 3. 17-gon The measure of an interior angle of a regular polygon is given. Find the number of sides in the polygon. 4. 144 5. 156 6. 160 Find the measure of each interior angle. J 7. (2x + 15)° (3x - 20)° K 8. 4 3 (6x - 4)° N (x + 15)° x° (2x + 8)° M (2x + 8)° (6x - 4)° 5 Find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon. Round to the nearest tenth, if necessary. 9. 16 10. 24 11. 30 12. 14 13. 22 14. 40 15. CRYSTALLOGRAPHY Crystals are classified according to seven crystal systems. The basis of the classification is the shapes of the faces of the crystal. Turquoise belongs to the triclinic system. Each of the six faces of turquoise is in the shape of a parallelogram. Find the sum of the measures of the interior angles of one such face. Chapter 6 72 Glencoe Geometry Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 6