112 104/Chapter 3 Written Exercises For each polygon, find (a) the interior angle sum and (b) the exterior angle sum. A 1. Quadrilateral 2. Pentagon 5. Decagon 3. 3. Hexagon 6. n-gon 2 4. Octagon 7. Draw a pentagon with one exterior angle at each vertex. Cut out the exterior angles and arrange them so that they all have a common vertex, as shown at the far right. What is the sum of the measures of the exterior angles? Repeat the experiment with a hexagon. Do your results support Theorem 3-14? 8. Complete the table for regular polygons. 4 1 5 3 2 Number of sides 9 15 30 ? ? ? ? Measure of each ext. Z ? ? ? 6 8 ? ? Measure of each int. L ? ? ? ? ? 165 178 9. A baseball diamond's home plate has three right angles. The other two angles are con- gruent. Find their measure. 10. Four of the angles of a pentagon have measures 40, 80, 115, and 165. Find the measure of the fifth angle. 11. The face of a honeycomb consists of interlocking regular hexagons. What is the measure of each angle of these hexagons? Skot 1 4 A 104/Chapter 3 Written Exercises For each polygon, find (a) the interior angle sum and (b) the exterior angle sum. 1. Quadrilateral 4. Octagon 2. Pentagon 5. Decagon 3 7. Draw a pentagon with one exterior angle at each vertex. Cut out the exterior angles and arrange them so that they all have a common vertex, as shown at the far right. What is the sum of the measures of the exterior angles? Repeat the experiment with a hexagon. Do your results support Theorem 3-14? 8. Complete the table for regular polygons. 4 3. Hexagon 6. n-gon 2 2 3 1 4 5 Number of sides 9 15 30 ? ? ? ? Measure of each ext. ? ? ? 6 8 ? ? Measure of each int. Z ? ? ? ? ? 165 1,78 9. A baseball diamond's home plate has three right angles. The other two angles are con- gruent. Find their measure. 10. Four of the angles of a pentagon have measures 40, 80, 115, and 165. Find the measure of the fifth angle. 11. The face of a honeycomb consists of interlocking regular hexagons. What is the measure of each angle of these hexagons? ketch the polygon described, If n lygon exists