Download Angle Measure Exercise

Name: ___________________________________ Date: _____________
Angle Measure
Exercise 1
Must show ALL Work
For Exercises 1-10, use the figure to the right.
Name the vertex of each angle. (1 pt)
1. ∠𝟓
2. ∠𝟑
3. ∠𝟖
4.
∠𝑵𝑴𝑷
Name the sides of each angle. (2 pt)
5. ∠𝟔
6. ∠𝟐
7. ∠𝑴𝑶𝑷
Write another name for each angle. (2 pt)
8.
∠𝟓
9. ∠𝑷𝑹
For Exercises 11-15, use the figure to the right.
Write another name for each angle. (2 pt)
11. ∠𝟏
12. ∠𝟐
13. ∠𝟑
14. ∠𝟒
15. ∠𝟓
10. ∠𝟐
SCORE: _______/ 45 pts
For Exercises 16 and 17, use the figure to the right and the given information.
⃗⃗⃗⃗⃗ bisects ∠𝑷𝑸𝑻, and 𝑸𝑷
⃗⃗⃗⃗⃗⃗ and 𝑸𝑹
⃗⃗⃗⃗⃗⃗ are opposite rays. (3 pt)
𝑸𝑺
16. If 𝑚∠𝑃𝑄𝑇 = 60 and 𝑚∠𝑃𝑄𝑆 = 4𝑥 + 14
find the value of x
17. If 𝑚∠𝑃𝑄𝑆 = 3𝑥 + 13 and 𝑚∠𝑆𝑄𝑇 = 6𝑥 − 2
find 𝑚∠𝑃𝑄𝑇
For Exercises 18 -20, use the figure to the right and the given information.
⃗⃗⃗⃗⃗⃗
𝑩𝑪 and ⃗⃗⃗⃗⃗⃗
𝑩𝑨 are opposite rays, ⃗⃗⃗⃗⃗⃗
𝑩𝑭 bisects ∠𝑪𝑩𝑬 and ⃗⃗⃗⃗⃗⃗
𝑩𝑫 bisects ∠𝑨𝑩𝑬 (3 pt)
18. If 𝑚∠𝐸𝐵𝐹 = 6𝑥 + 4 and 𝑚∠𝐶𝐵𝐹 = 7𝑥 − 2, find 𝑚∠𝐸𝐵𝐶
19. If 𝑚∠1 = 4𝑥 + 10 and 𝑚∠2 = 5𝑥, find 𝑚∠2.
20. If 𝑚∠2 = 4𝑦 + 2 and 𝑚∠1 = 8𝑦 − 14, find 𝑚∠𝐴𝐵𝐸
A five-pointed star sticker is shown below right with vertices labeled. (3 pt)
21. Find 𝒎∠𝑮𝑩𝑯 and 𝒎∠𝑯𝑪𝑰 if ∠𝑮𝑩𝑯 ≅ ∠𝑯𝑪𝑰, 𝒎∠𝑮𝑩𝑯 = 𝟐𝒙 + 𝟓, 𝒂𝒏𝒅 𝒎∠∠𝑯𝑪𝑰 = 𝟑𝒙 − 𝟏𝟎.
Name: ___________________________________ Date: _____________
Angle Measure
Exercise 2
Must show ALL Work
For Exercises 1 - 5, use the figure to the right and the given information.
⃗⃗⃗⃗⃗⃗
𝑪𝑩 and ⃗⃗⃗⃗⃗⃗
𝑪𝑫 are opposite rays, ⃗⃗⃗⃗⃗
𝑪𝑬 bisects ∠𝑫𝑪𝑭, and ⃗⃗⃗⃗⃗
𝑪𝑮 bisects ∠𝑭𝑪𝑩.
1-4: Write another name for each angle. (1 pt)
1. ∠1
2. ∠2
4.
3. ∠3
∠4
5. Name all sets of congruent angles. (3 pt)
6. ∠1 + ∠2 + ∠3 + ∠4 = _______________. Explain why in complete sentences. (3 pt)
7. If 𝑚∠𝐷𝐶𝐸 = 4𝑥 + 15 and 𝑚∠𝐸𝐶𝐹 = 6𝑥 − 5, find 𝑚∠𝐷𝐶𝐸. (3 pt)
8. If 𝑚∠𝐹𝐶𝐺 = 9𝑥 + 3 and 𝑚∠𝐺𝐶𝐵 = 13𝑥 − 9, find 𝑚∠𝐺𝐶𝐵. (3 pt)
SCORE: _______/ 30 pts
For Exercises 9 – 12, use the figure to the right. (2 pt)
9. Name at least one right angle.
10. Name at least two different acute angles.
11. Name at least one obtuse angle.
12. Name two angles that make a right angle together.
For Exercises 13 and 14, use the figure to the right and the given information.
⃗⃗⃗⃗⃗⃗
𝑩𝑫 bisects ∠𝑬𝑩𝑪, and ⃗⃗⃗⃗⃗⃗
𝑩𝑭 bisects ∠𝑨𝑩𝑬. (3 pt)
13. If 𝑚∠𝐸𝐵𝐷 = 4𝑥 + 16 and 𝑚∠𝐷𝐵𝐶 = 6𝑥 + 4, find 𝑚∠𝐸𝐵𝐷.
14. If 𝑚∠𝐴𝐵𝐹 = 7𝑥 − 8 and 𝑚∠𝐸𝐵𝐹 = 5𝑥 + 10, find 𝑚∠𝐸𝐵𝐹.
⃗⃗⃗⃗⃗⃗
𝑩𝑨 and ⃗⃗⃗⃗⃗⃗
𝑩𝑪 are opposite rays,