Question: Please help! 1. The Polygon Angle-Sum Theorem is the sum of the measures of the interior angles of a n-gon. *Write a formula that finds

Please help!

1. ThePolygon Angle-Sum Theoremis the sum of the measures of the interior angles of a n-gon.

*Write a formula that finds the sum of the interior angles where n=the number of sides.

_________________________

2. Find thesum of the interior angles in a regular hexagon.

Answer: ______________

2. TheCorollary to the Polygon Angle-Sum Theorem finds the measure of each interior angle of a regular n-gon.

*Write a formula to find the measure of each interior angle using n=number of sides.

_________________________

4. Find the measure ofeach interior angle of a regular hexagon.

Answer: _____________

5. ThePolygon Exterior Angle-Sum Theorem states that the exterior angles of any polygon add up to 360 degrees.

*Write a formula that can help you find the measure of each individual exterior angle in any polygon. Use n for the number of sides.

_________________________

6. Find the measure ofeach exterior angle of an octagon.

Answer: _____________

7. What is the sum of the degrees of the interior angles of a 19-gon?

  1. 3420 degrees
  2. 3060 degrees
  3. 3780 degrees
  4. 3530 degrees

Answer: _________

8. What is the SUM of the angle measures in a nonagon (9 sides)?

  1. 1440
  2. 900
  3. 1080
  4. 1260

Answer: _________

9. What is the sum of the exterior angles of a 20-gon?

180

360

3240

162

Answer: ________

10. A polygon's interior angles add up to 2700. How many sides does the polygon have?

17

15

19

11

Answer: _________

11. Find the measure of angle E.

12. Solve for X.

x = _______________

13. What is the most precise name for quadrilateral ABCD with vertices A(-2, -1), B(2, 2), C(1, -2), and D(-3, -3)?

Answer: ______________

14. What is the most precise term for quadrilateral ABCD with vertices A(4, 7), B(6, 5), C(4, 1), and D(2, 5)?

Answer: _______________

15. An unknown quadrilateral has these points:

A(0,-3)

B(6,-3)

C(9,1)

D(3,1)

What is the length of side BC?

Answer: ________

16. An unknown quadrilateral has these points:

A(0,-3)

B(6,-3)

C(9,1)

D(3,1)

Based on your discoveries about the lengths of the sides, can this shape be a square?

Answer: ________

17. An unknown quadrilateral has these points:

A(0,-3)

B(6,-3)

C(9,1)

D(3,1)

Based on your discoveries about the slopes of the sides, can this shape be a parallelogram?

Answer: ___________

18. This figure is NOT a ________.

  1. trapezoid
  2. square
  3. rectangle
  4. parallelogram

Answer: _____________

19. If the figure above is a rhombus. If <1=42, then what does

<3 >

How do you know? _______________________________

20. LM is the midsegment of trapezoidABCD. IfAB= 34 andDC = 128, what isLM?

LM = __________________

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