Combined and Complex Polygon Angle Problems

Questions

1. MultiChoice

   A regular hexagon and a square share a common side. What is the measure of the angle formed between their adjacent sides?

2. MultiChoice

   What is the sum of the interior angles of a 7-sided polygon plus the sum of exterior angles of a 5-sided polygon?

3. MultiChoice

   How many total degrees are in the sum of interior angles of a pentagon and a hexagon combined?

4. MultiChoice

   A regular polygon has interior angles of 160°. How many diagonals can be drawn from one vertex?

5. MultiChoice

   If polygon A has 6 sides and polygon B has 8 sides, what is the difference between their interior angle sums?

6. MultiChoice

   The ratio of the interior angle sum of Polygon A to Polygon B is 1:2. If Polygon A is a quadrilateral, how many sides does Polygon B have?

7. MultiChoice

   What is the sum of ONE interior angle and ONE exterior angle of a regular decagon?

8. MultiChoice

   An interior angle of a regular polygon is 8 times its exterior angle. How many sides does it have?

9. MultiChoice

   If you double the number of sides of a regular hexagon, by how much does each interior angle increase?

10. MultiChoice

    Two regular polygons have exterior angles measuring 40° and 30° respectively. What is the difference in their number of sides?

11. MultiChoice

    What is the average measure of an interior angle in an irregular octagon?

12. MultiChoice

    If the sum of interior angles of a polygon equals the sum of its exterior angles, how many sides does it have?