1. Mrs. Rivas

2. Mrs. Rivas

3. Mrs. Rivas

4. Mrs. Rivas

5. Mrs. Rivas

6. Mrs. Rivas

7. Mrs. Rivas 𝟐𝒙 + 𝟏𝟓 + 𝟒𝒙 – 𝟏 = 𝟖𝒙 + 𝟖 𝟔𝒙 + 𝟏𝟒 = 𝟖𝒙 + 𝟖 𝟔𝒙 = 𝟖𝒙 – 𝟔
−𝟐𝒙 = – 𝟔
𝟖𝒙 + 𝟖
𝟒𝒙 – 𝟏
𝒙 = 𝟑
Then substitute to answer the question.

8. Mrs. Rivas X = 3 m∠AOB = 4x – 1 = 4(3) – 1 = 11 m∠BOC = 2x + 15
= 4(3) – 1
= 11
m∠BOC = 2x + 15
= 2(3) + 15
= 21
2x + 15
m∠AOC = 8x + 8
= 8(3) + 8
= 32
8x + 8
4x – 1

9. Mrs. Rivas 𝟏𝟐𝒙 – 𝟔 𝟑𝒙 – 𝟏𝟎 + 𝟖𝒙 + 𝟏𝟑 = 𝟏𝟐𝒙 – 𝟔 𝟏𝟏𝒙 + 𝟑 = 𝟏𝟐𝒙 – 𝟔
𝟏𝟏𝒙 = 𝟏𝟐𝒙 – 𝟗
3x – 10
8x + 13
−𝒙 = – 𝟗
𝒙 = 𝟗
Then substitute to answer the question.

10. Mrs. Rivas X = 9 12x – 6 m∠COD = 8x + 13 = 8(9) + 13 = 85
m∠BOC = 3x – 10
= 3(9) – 10
= 17
3x – 10
8x + 13
m∠BOD = 12x – 6
= 12(3) – 6
= 102

11. Always read the question and draw a picture.
Mrs. Rivas
Always read the question and draw a picture.
3x + 8 = 2x + 48
– 8
– 8 A B C E F
2x + 48
3x + 8
3x = 2x + 40
– 2x
– 2x
x = 40
3(40) + 8 = 128
2(40) + 48 = 128

12. Always read the question and draw a picture.
Mrs. Rivas
Always read the question and draw a picture.
2x – 3 + 5x + 2 = 90º
2x – 3 + 5x + 2 = 90º J K L
2x – 3 N P M
5x + 2
7x – 1 = 90º
+ 1
+ 1
7x = 91º
5(13) + 2 = 67 7 7
2(13) – 3 = 23
x = 13º

13. Mrs. Rivas

14. Mrs. Rivas

15. Mrs. Rivas

16. Mrs. Rivas

17. Always read the question and draw a picture.
Mrs. Rivas
Always read the question and draw a picture.
If ∠JKM = 86 then ∠MKL = 86, so ∠JKL has to be equal to
= 172. J K M L 86

18. Always read the question and draw a picture.
Mrs. Rivas
Always read the question and draw a picture.
Since bisect means cut in half. Then, m∠RSV = 62 ÷ 2 = 31 R S V T 62

19. Always read the question and draw a picture.
Mrs. Rivas
Always read the question and draw a picture.
3x = 5x – 20 P Q S R 3x
– 5x
– 5x
– 2x = – 20
5x – 20 2 2
x = 10
3(10) = 30
5(10) – 20 = 30
So, m∠PQR = = 60

20. Always read the question and draw a picture.
Mrs. Rivas
Always read the question and draw a picture.
2x + 1 = 4x – 15
– 1 P Q S R
2x + 1
– 1
2x = 4x – 16
4x – 15
– 4x
– 4x
– 2x = – 16
2(8) + 1 = 17
4(8) – 15 = 17 2 2
So, m∠PQR = = 34
x = 8

21. Always read the question and draw a picture.
Mrs. Rivas
Always read the question and draw a picture.
= 3x – 12 P Q S R
3x – 12
60 = 3x – 12
+ 12 30
+ 12
72 = 3x 3 3
3(24) – 12 = 60
x = 24

22. Always read the question and draw a picture.
Mrs. Rivas
Always read the question and draw a picture.
2x + 10 = 5x – 17 P Q S R
2x + 10
– 10
– 10
2x = 5x – 27
5x – 17
– 5x
– 5x
– 3x = – 27 3 3
2(9) + 10 = 28
5(9) – 17 = 28
x = 9
So, m∠PQR = = 56

23. Always read the question and draw a picture.
Mrs. Rivas
Always read the question and draw a picture.
a).
b).
m∠MLN = 7(8) – 1 = 55
7x – 1 + 4x + 3 = 90º
11x + 2 = 90º
m∠JKL = 4(8) + 3 = 35
– 2
– 2
11x = 88º
c). I can check the answer by adding 55 and 35, and it should be 90º = 90º 11 11
x = 8

24. Mrs. Rivas