1. Solve for x and then find the measure of each angle
Bellwork: Thursday May 17th
Solve for x and then find the measure of each angle
Set both values equal to each other
Solve for x
8x – 8 = 7x + 3
-7x x
1x – 8 = 3
1x = 11
÷1 ÷ 1
x = 11
Solve for x

2. Bellwork Continued: Use x to find the measure of the angles
Step 1: Solve for x
x = 11
Step 2: Plug the “x” value into both angles
Step 3: Find the value of the two angles
Angle 1 = 80°
Angle 2 = 80°
Step 4: Check to see that both angles have the same measure
80° = 80°
8  11 – 8
7 

3. Homework Answers Angle 1 = 135˚ Angle 2 = 135˚ Angle 1 = 50˚

4. Angle 1 = 90˚
Angle 2 = 90˚
Angle 1 = 46˚
Angle 2 = 46˚

5. Angle 1 = 130˚
Angle 2 = 130˚
Angle 1 = 68˚
Angle 2 = 68˚

6. Angle 1 = 119˚
Angle 2 = 119˚
Angle 1 = 60˚
Angle 2 = 60˚

7. Solve for x and then find the measure of each angle for x
Review #1
Solve for x and then find the measure of each angle for x
Set both values equal to each other
Solve for x
9x + 2 = 10x – 10
-10x x
-1x + 2= -10
-1x = -12
÷ ÷ -1
x = 12
Solve for x

8. Use x to find the measure of the angles
Review #1 continued
Use x to find the measure of the angles
9 
Step 1: Solve for x
x = 12
Step 2: Plug the “x” value into both angles
Step 3: Find the value of the two angles
Angle 1 = 110°
Angle 2 = 110°
Step 4: Check to see that both angles have the same measure
110° = 110°
10  12 – 10

9. Match the following words with the correct definition.
Review #2
Match the following words with the correct definition. 5
Complementary
Supplementary
Alternate Exterior Angles
Alternate Interior Angles
Corresponding Angles
Angles in the same location on two different parallel lines cut by a transversal
Angles whose sum is 180°
Angles whose sum is 90°
Two non-adjacent angles inside two parallel lines cut by a transversal
Two non-adjacent angles outside two parallel lines cut by a transversal 2 1 4 3

10. Two angles whose sum equals 90° are called what?
Review #3
Two angles whose sum equals 90° are called what?
Complementary Angles

11. Find the value of x by writing and solving an equation
Review #4
Find the value of x by writing and solving an equation x
x + 68 = 90
x = 22°

12. Find the value of x by writing and solving an equation.
Review #5
Find the value of x by writing and solving an equation. x
56°

13. Find the value of x and then find the measure of each angle
Review #6
Find the value of x and then find the measure of each angle
Solve for x
22x = 90
22x + 68 = 90
2x = ÷2 ÷2
x = 11

14. Use x to find the measure of the angles
Review #6 continued
Step 1: Solve for x
x = 11
Step 2: Plug the “x” value into both angles
Step 3: Find the value of the two angles
Angle 1 = 58°
Angle 2 = 32°
Step 4: Check to see that the angles add up to 90° or 180 °
58° + 32° = 90°
Use x to find the measure of the angles

15. Find the value of x and then find the measure of each angle
Review #7
Find the value of x and then find the measure of each angle
Solve for x
5x x + 9 = 90
8x + 10 = 90
8x = ÷8 ÷8
x = 10

16. Use x to find the measure of the angles
Review #7 continued
Step 1: Solve for x
x = 10
Step 2: Plug the “x” value into both angles
Step 3: Find the value of the two angles
Angle 1 = 39°
Angle 2 = 51°
Step 4: Check to see that the angles add up to 90° or 180 °
39° + 51° = 90°
Use x to find the measure of the angles

17. Two angles whose sum equals 180° are called what?
Review #8
Two angles whose sum equals 180° are called what?
Supplementary Angles

18. Find the value of x by writing and solving an equation
Review #9
Find the value of x by writing and solving an equation
X = 180
x = 45° x

19. Find the value of x by writing and solving an equation
Review #10
Find the value of x by writing and solving an equation
51° x

20. Find the value of x and then find the measure of each angle
Review #11
Find the value of x and then find the measure of each angle
Solve for x
2x = 180
2x = 180
2x = ÷2 ÷2
x = 30

21. Use x to find the measure of the angles
Review #11 continued
Use x to find the measure of the angles
Step 1: Solve for x
x = 30
Step 2: Plug the “x” value into both angles
Step 3: Find the value of the two angles
Angle 1 = 88°
Angle 2 = 92°
Step 4: Check to see that the angles add up to 90° or 180 °
88° + 92° = 180°

22. Find the value of x and then find the measure of each angle
Review #12
Find the value of x and then find the measure of each angle
Solve for x
x x + 2 = 180
5x + 5 = 180
5x = ÷5 ÷5
x = 35

23. Use x to find the measure of the angles
Review #12 continued
Use x to find the measure of the angles
Step 1: Solve for x
x = 35
Step 2: Plug the “x” value into both angles
Step 3: Find the value of the two angles
Angle 1 = 38°
Angle 2 = 142°
Step 4: Check to see that the angles add up to 90° or 180 °
38° + 142° = 180°

24. Alternate Interior Angles
Review #13
What do you call congruent angles that are on the inside of the parallel lines but on opposite sides of the transversal?
Alternate Interior Angles

25. Alternate Exterior Angles
Review #14
What do you call congruent angles that are on the outside of the parallel lines but on opposite sides of the transversal?
Alternate Exterior Angles

26. Find the value of two unknown angles
Review #15
Find the value of two unknown angles
68°
112°

27. Find the value of two unknown angles
Review #16
Find the value of two unknown angles
50°
130°

28. Find the value of two unknown angles
Review #17
Find the value of two unknown angles
104°
76°

29. Find the value of two unknown angles
Review #18
Find the value of two unknown angles
82°
98°

30. Find the value of x and then find the measure of each angle
Review #19
Find the value of x and then find the measure of each angle
Solve for x
16x – 8 = x
-14x x
2x – 8 = 8
2x = 16
÷ 2 ÷ 2
x = 8

31. Find the value of x and then find the measure of each angle
Review #19 continued
Find the value of x and then find the measure of each angle
Substitute x with 8 then simplify
16x – and x
16(8) – and (8)
120˚

32. Find the value of x and then find the measure of each angle
Review #20
Find the value of x and then find the measure of each angle
Solve for x
17x + 3 = 105
17x = 102
÷17 ÷ 17
x = 6

33. Find the value of x and then find the measure of each angle
Review #20 continued
Find the value of x and then find the measure of each angle
Substitute x with 6 then simplify
17 x and °
17(6) and °
105˚

34. Review #21
What do you call congruent angles in the same location on two different parallel lines cut by a transversal?
Corresponding Angles

35. Find the value of x and then find the measure of each angle
Review #22
Find the value of x and then find the measure of each angle
Solve for x
7x – 10 = 5x + 10
-5x x
2x – 10 = 10
2x = 20
÷2 ÷2
x = 10

36. Find the value of x and then find the measure of each angle
Review #22 continued
Find the value of x and then find the measure of each angle
Substitute x with 10 then simplify
7x – and 5x + 10
7(10) – 10 and 5(10) + 10
60˚

37. Find the value of x and then find the measure of each angle
Review #23
Find the value of x and then find the measure of each angle
Solve for x
11x – 6 = 10x
-11x x
-6 = -1x
÷-1 ÷-1
x = 6

38. Find the value of x and then find the measure of each angle
Review #23 continued
Find the value of x and then find the measure of each angle
Substitute x with 6 then simplify
10x and 11x – 6
10(6) and 11(6) – 6
60˚

39. Homework
Review worksheet.
Remember…Quiz tomorrow.