The Polygon Angle-Sum Theorem states the following: The sum of the measures of the angles of an n-gon is ____. (1 point)
(n – 1)180o
(n – 2)180o
9. What is the measure of one angle in a regular 16-gon? (1 point)
2,520o
202.5o
157.5o
78.75o
10. The measure of each exterior angle of a regular 5-gon is ____ the measure of each exterior angle of a regular 9-gon. (1 point)
greater than
less than
1. (n-2)180
2. AB=CD and BC=AD
3. All rectangles are quadrilaterals.
4. always
5. 135°
6. (a+c, b)
7. 15° and 75°
8. 24
9. 9
10. 47 ft.
11. TRS ~ TPQ; SAS~
12. SSS theorem
13. 24
14. 2√10 miles; 2√35 miles
15. x = 12
16. yes
17. acute
18. 17√2 ft
19. 33/2 + 11/2 √3
20. 86.19°
21. sin A = 21/29, cos A = 20/29
22. 1.9 mi
23. 1,190 in^2
24. 19.2 ft
25. 44 cm^2
26. 34.3 ft^2
27. 1,216 in^2
28. 72,000
29. 40pi in.
30. 15pi in.
31. 4.2025pi m^2
32. 24.0 in^2
33. 505m^2; 519m^2
34. 14
35. 308pi in^2
36. 144 ft^2
37. 1,802 m^2
38. 1:4
39. 1,513.2 in^3
40. 509.3 ft^2
41. 1,783.3 m^2
42. 7:18
43. 46
44. 60
45. 43°
46. 22°
47. 28°
48. (x-3)^2 + (y+2)^2 = 9
49. (x+4)^2 + (y+3)^2 = 125
This should be right for the geometry semester B exam, but be careful because they might have changed it!
Anonymous, are you sure this is right?
The sum of the measures of the angles of an n-gon is 180(n-2)
9. Use the above formula to get 2520°
10.
The measure of each exterior angle of a regular 5-gon is 360/5 = 72°
The measure of each exterior angle of a regular 9-gon is 360/9 = 40°
n-2
Can someone check my answers. Geometry unit 16 semester exam.
1. The Polygon angle-sum theorem states: the sum of the measures of the angle of an n-gon is.
D - (n-2_180
2. If ABCD is a parallelogram, which of the following statements must be true?
B - A=B=C=D
3.A quadrilateral ________ has on pair of parallel sides.
B - sometimes
4. A square is ________ a rectangle.
B - Sometimes
5. A stop sign is in the shape of a regular octagon. what is the measure of each angle on the sign?
B - 170 degree
6. If the coordinates of a quadrilateral composed in the first quadrant of the coordinate plane are (0,0),(a=c,b), and (c,0), which is the most accurate classification of the quadrilateral?
C - Parallelogram.
I need the semester A exam </3
The sum of the measures of the angles of an n-gon can be found using the Polygon Angle-Sum Theorem, which states that the sum is equal to (n - 2) * 180 degrees (or (n - 2) * π radians).
For question 9, we need to find the measure of one angle in a regular 16-gon. Since a regular polygon has all angles equal, we can divide the sum of the angles (from the Polygon Angle-Sum Theorem) by the number of angles in the polygon.
Using the formula (n - 2) * 180 and substituting n with 16, we get (16 - 2) * 180 = 14 * 180 = 2520 degrees.
To find the measure of one angle, we divide the sum of the angles by the number of angles, which in this case is 16. Therefore, 2520 degrees / 16 = 157.5 degrees.
So, the measure of one angle in a regular 16-gon is 157.5 degrees.
For question 10, we want to determine the relationship between the measure of each exterior angle of a regular 5-gon and a regular 9-gon.
The measure of each exterior angle in a regular polygon can be found by dividing 360 degrees (or 2π radians) by the number of sides in the polygon.
For the regular 5-gon, the measure of each exterior angle is 360 degrees / 5 = 72 degrees.
For the regular 9-gon, the measure of each exterior angle is 360 degrees / 9 = 40 degrees.
Comparing the two measures, we can see that the measure of each exterior angle of a regular 5-gon is greater than the measure of each exterior angle of a regular 9-gon. Therefore, the answer is "greater than."