1 / 47

Question 1:

Question 1:. Find the measure of A. A. 145 °. 44 °. B. C. A. 145 °. 44 °. B. C. Question 1: SOLUTION. The measure of an exterior angle is the sum of the two remote interior angles. 101. H. D. S. C. L. Question 2:. Find DC if HL = 68. . H. D. S. C. L.

royal
Download Presentation

Question 1:

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Question 1: Find the measure of A. A 145° 44° B C

  2. A 145° 44° B C Question 1: SOLUTION The measure of an exterior angle is the sum of the two remote interior angles. 101

  3. H D S C L Question 2: Find DC if HL = 68.

  4. H D S C L Question 2: SOLUTION By the Midline Theorem, DC is half the length of HL. DC = 34

  5. Question 3: Find the sum of the exterior angles in a regular dodecagon.

  6. Question 3 SOLUTION: The sum of the exterior angles in any polygon is always 360°. 360°

  7. Question 4: Find the sum of the angles in a 62-gon.

  8. Question 4 SOLUTION: Find the sum of the angles in a 62-gon. 10800°

  9. Question 5: Find the number of diagonals that can be drawn in a regular octagon.

  10. Question 5 SOLUTION: Find the number of diagonals that can be drawn in a regular octagon. 20

  11. Question 6: How many sides does a pentadecagon have?

  12. Question 6 SOLUTION: A pentadecagon has 15 sides. 15

  13. Question 7: Find the number of sides in a regular polygon whose exterior angles each measure 7.5°.

  14. Question 7 SOLUTION: Find the number of sides in a regular polygon whose exterior angles each measure 7.5°. 48

  15. Question 8: Solve x2 + 5x = 84 by factoring. What is the greater of the two solutions?

  16. Question 8 SOLUTION: Solve x2 + 5x = 84 by factoring. What is the greater of the two solutions? x2 + 5x – 84 = 0 (x - 7)(x + 12) = 0 x - 7 = 0 x = 7 x + 12 = 0 x = -12 7

  17. Question 9: The sum of the interior angles of a polygon is 7740°. How many sides does the polygon have?

  18. Question 9 SOLUTION: The sum of the interior angles of a polygon is 7740°. How many sides does the polygon have? 45

  19. Question 10: Find the measure of an interior angle in a regular decagon.

  20. Question 10 SOLUTION: Find the measure of an interior angle in a regular decagon. 144

  21. Question 11: A polygon has 54 diagonals. How many sides does the polygon have?

  22. Question 11 SOLUTION: A polygon has 54 diagonals. How many sides does the polygon have? 12

  23. Question 12: What is the measure of an exterior angle in a regular 72-gon?

  24. Question 12 SOLUTION: What is the measure of an exterior angle in a regular 72-gon? 5

  25. Question 13: The measure of an angle in a regular polygon is 140°. How many sides does the polygon have?

  26. Question 13 SOLUTION: The measure of an angle in a regular polygon is 140°. How many sides does the polygon have? 9

  27. 36° Question 14: Find the measure of the missing angle in the triangle.

  28. 36° Question 14 SOLUTION: Find the measure of the missing angle in the triangle. 180 – 90 – 36 = 54° 54

  29. Question 15: The ratio of an interior angle to an exterior angle in a regular polygon is 7:1. How many sides does the polygon have?

  30. Question 15 SOLUTION: The ratio of an interior angle to an exterior angle in a regular polygon is 7:1. How many sides does the polygon have? Interior and exterior angles are supplementary. 1x + 7x = 180 8x = 180 x = 22.5 Exterior angle = 22.5° 16

  31. H D S C L Question 16: Find the measure of S. 82° 67°

  32. H D 82° 82° S 67° C 67° L Question 16 SOLUTION: Find the measure of S. 180 – 82 – 67 = 31° 31

  33. Question 17: Solve for x. (x + 2)° (2x - 18)° (3x + 7)° (4x-11)° (2x + 8)°

  34. (x + 2)° (2x - 18)° (3x + 7)° (4x-11)° (2x + 8)° Question 17 SOLUTION: Solve for x. (x+2)+(2x-18)+(4x-11)+(2x+8)+(3x+7)=540 12x – 12 = 540 12x = 552 x = 46 46

  35. Question 18: Find the number of diagonals in a 16-gon.

  36. Question 18 SOLUTION: Find the number of diagonals in a 16-gon. 104

  37. Question 19: Solve x2 – 13x + 42 = 0 by factoring. Then find the smaller of the two solutions.

  38. Question 19 SOLUTION: Solve x2 – 13x + 42 = 0 by factoring. Then find the smaller of the two solutions. x2 – 13x + 42 = 0 (x – 7)(x – 6) = 0 x – 7 = 0 x = 7 x – 6 = 0 x = 6 6

  39. Question 20: Find the measure of an angle in a regular 18-gon.

  40. Question 20 SOLUTION: Find the measure of an angle in a regular 18-gon. 160

  41. Question 21: The vertex angle in an isosceles triangle measures 62°. Find the measure of one base angle.

  42. Question 21 SOLUTION: The vertex angle in an isosceles triangle measures 62°. Find the measure of one base angle. x + x + 62 = 180 2x + 62 = 180 2x = 118 x = 59 62° x° x° 59

  43. Question 22: The measure of an exterior angle of a regular polygon is 15°. Find the number of sides in the polygon.

  44. Question 22 SOLUTION: The measure of an exterior angle of a regular polygon is 15°. Find the number of sides in the polygon. 24

  45. Question 23: How many sides does a polygon have if it has 275 diagonals?

  46. Question 23 SOLUTION: How many sides does a polygon have if it has 275 diagonals? 25

  47. The End!

More Related