Polygons: diagonals and exterior angles

Answer Key - Grade 10 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Ari draws every diagonal of an 8-sided tile. How many diagonals are there in all?

   20
2. 2.

   Bo draws every diagonal of an 11-sided coin design. How many diagonals are there in all?

   44
3. 3.

   Esme draws every diagonal of a 13-sided star sticker outline. How many diagonals are there in all?

   65
4. 4.

   Jun draws every diagonal of a 15-sided table top plan. How many diagonals are there in all?

   90
5. 5.

   Kira draws every diagonal of a 20-sided sun design. How many diagonals are there in all?

   170
6. 6.

   Milo walks around a path shaped like a regular 15-sided polygon, turning the same amount at each corner. What is each exterior angle (turn), in degrees?

   24
7. 7.

   Noah walks around a regular 24-sided garden path, turning the same amount at each corner. What is each exterior angle (turn), in degrees?

   15
8. 8.

   Pia rides around a regular 40-sided track, turning the same amount at each corner. What is each exterior angle (turn), in degrees?

   9
9. 9.

   Each exterior angle (turn) of a regular polygon in Ren's honeycomb tile design is 60°. How many sides does the polygon have?

   6
10. 10.

    Each exterior angle (turn) of a regular polygon in Tala's floor tile design is 90°. How many sides does the polygon have?

    4