See Problem 4.

22. If m ∠ ABD = 79 , m angle  what are m ∠ ABC m angle  and m ∠ DBC ? m angle

    

23. ∠ RQT angle  is a straight angle. What are m ∠ RQS m angle  and m ∠ TQS ? m angle

    

B Apply

Use a protractor. Measure and classify each angle.

24. 
25. 
26. 
27. 

28. Think About a Plan A pair of earrings has blue wedges that are all the same size. One earring has a 25 ° 25 degrees  yellow wedge. The other has a 14 ° 14 degrees  yellow wedge. Find the angle measure of a blue wedge.

    

    • How do the angle measures of the earrings relate?
    • How can you use algebra to solve the problem?

Algebra Use the diagram below for Exercises 29 and 30. Solve for x. Find the angle measures to check your work.

29. m ∠ AOB = 4 x − 2 , m ∠ BOC = 5 x + 10 , m ∠ COD = 2 x + 14 m angle
30. m ∠ AOB = 28 , m ∠ BOC = 3 x − 2 , m ∠ AOD = 6 x m angle
31. If m ∠ MQV = 90 , m angle  which expression can you use to find m ∠ VQP ? m angle

    

    1. m ∠ MQP − 90 m angle
    2. 90 − m ∠ MQV 90 minus m angle
    3. m ∠ MQP + 90 m angle
    4. 90 + m ∠ VQP 90 plus , m angle

32. Literature According to legend, King Arthur and his knights sat around the Round Table to discuss matters of the kingdom. The photo shows a round table on display at Winchester Castle, in England. From the center of the table, each section has the same degree measure. If King Arthur occupied two of these sections, what is the total degree measure of his section?

    

C Challenge

Time Find the angle measure of the hands of a clock at each time.

33. 6:00
34. 7:00
35. 11:00
36. 4:40
37. 5:20
38. 2:15
39. Open-Ended Sketch a right angle with vertex V. Name it ∠ 1 . angle 1 .  Then sketch a 135 ° 135 degrees  angle that shares a side with ∠ 1 . angle 1 .  Name it ∠ PVB . angle  Is there more than one way to sketch ∠ PVB ? angle  If so, sketch all the different possibilities. (Hint: Two angles are the same if you can rotate or flip one to match the other.)

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