The document contains instructions and questions for identifying angles and properties of triangles. It asks the reader to name angles, classify them as acute, right, obtuse or straight, and find missing angle measures using properties of angle sums in triangles. It emphasizes drawing diagrams for each problem and setting up equations to solve for unknown angle measures.

1. 1.4 WE Q1 Name the vertex and the sides of Q2 Name all the angles adjacent to

2. 1.4 WE Q1 Name the vertex and the sides of Q2 Name all the angles adjacent to

3. State another name for each angle.

4. State another name for each angle.

5. State another name for each angle.

6. State another name for each angle.

7. State another name for each angle.

8. State another name for each angle.

9. State whether the angle appears to be acute, right, obtuse or straight. Acute

10. State whether the angle appears to be acute, right, obtuse or straight. Acute Acute

11. State whether the angle appears to be acute, right, obtuse or straight. Acute Acute Right

12. State whether the angle appears to be acute, right, obtuse or straight. Acute Acute Right Acute

13. State whether the angle appears to be acute, right, obtuse or straight. Acute Acute Right Acute Straight

14. State whether the angle appears to be acute, right, obtuse or straight. Acute Acute Right Acute Straight Obtuse

15. Complete the sentence. LAE

16. Complete the sentence. LAE 1

17. Complete the sentence. LAE 1

18. Complete the sentence. LAE 1 180

19. Without measuring sketch each angle, then measure for accuracy. Each angle is half of 90 or 45 150 = 90+60 150 = 90+30+30

20. Draw a line, . Choose a point O between A and B. Use a protractor to investigate the following questions. Q23. In a plane represented by your paper, how many lines can you draw through O that will form a 30 0 angle with ? A O B 2

21. Draw a line, . Choose a point O between A and B. Use a protractor to investigate the following questions. Q24. In a plane represented by your paper, how many lines can you draw through O that will form a 90 0 angle with ? A O B 1

22. Q25 Using a ruler, draw a large triangle. Then use a protractor to find the approximate measure of each angle and compute the sum of the three measures of each angle. Repeat the exercise. Do you get the same result? Sum = 180 0 Sum = 180 0 Yes

23. Q26 Find the measures of angle 2, 3, & 4 when the measure of angle 1 = 90. Q27 Find the measures of angle 2, 3, & 4 when the measure of angle 1 = t. Note that adjacent angles add up to 180 0 .

24. Q28 A careless person wrote, using the figure shown, What part of the angle addition postulate did that person overlook? B must be in the interior of

25. Find the value of x. 3 2 1 6X 90 - X First label the diagram to visualize the situation. Second, find an equation using x.

26. Find the value of x. 3 2 1 First label the diagram to visualize the situation. Second, find an equation using x. 6x + 7 7x +3 Note that the drawing needs to be done again for each problem!

27. Find the value of x. 3 2 1 First label the diagram to visualize the situation. Second, find an equation using x. 3x + 6 5x - 12 12 12 -3x -3x ___ ____ 2 2 For most students, the red steps should be mental steps. Note that the drawing needs to be done again for each problem!

28. Find the value of x. 3 2 1 First label the diagram to visualize the situation. Second, find an equation using x. x x 4x Note that the drawing needs to be done again for each problem!

29. Find the value of x. 3 2 1 First label the diagram to visualize the situation. Second, find an equation using x. 2x - 8 2x - 8 116 Note that the drawing needs to be done again for each problem!

30. Find the value of x. 3 2 1 First label the diagram to visualize the situation. Second, find an equation using x. X + 12 X + 12 6x -20

31. C’est fini. The End