Complementary and Supplementary Angle.pptx

Angle Pairs
Finding the complement and supplement of each given angle

1. 42° + ____ = 90° 48°

2. ____+ 41°= 180° 139°

3. 11° + ____ = 90° 79°

4. 23° + ___ = 180° 157°

5. 19.8°+____= 90° 70.2°

6. A B C D E F G H M P K N

7. 1 2 8 7 3 6 4 9 5

8. SET A SET B Pair of angles that form right angle Pair of angles that form straight angle A and P F and D E and K B and E G and H N and M

9. Complementary Angles Two angles are complementary if the sum of their measures is 90 degrees. Each angle is the complement of the other. 1 2 These are complements of each other because their angles add up to be 90° A B 30° + 60° = 90°

10. Supplementary Angles Two angles are supplementary if the sum of their measures is 180 degrees. Each angle is the supplement of the other. These are supplement of each other because their angles add up to be 180° 1 2 40° 140° D E 40° + 140° = 180°

11. Example 1: Find the value of x by making an equation. x + 2 x = 90° 3 x = 90° 3 3 x = 30° 2 x 2(30) 2 = 60° (30) 1 = 30° x For 1 : For 2 : x 2 x 1 2

12. Example 1: Find the value of x by making an equation. 3x + 2 x = 90° 5 x = 90° 5 5 x = 18° 2 x 2(18) 2 = 36° 3(18) 1 = 54° 3x For 1 : For 2 : 3 x 2 x 1 2

13. Example 2: Find the value of x by making an equation. 3 x + 25 + 2 x = 180° 5 x + 2 5 = 180° – 2 5 = – 2 5 5 x = 155° 5 5 x = 31° 3 x + 25 2 x 3 4 3 x + 25 3(31) + 25 93+ 25 4 = 62° 2(31) 3 = 118° 2 x For 3 : For 4 :

14. Example 2: Find the value of x by making an equation. x – 40 + 3 x = 180° 4 x – 40 = 180° +40 = +40 4 x = 220° 4 4 x = 55° x - 40 3x 4 3 x – 40 55 – 40 4 = 165° 3(55) 3 = 15° 3 x For 3 : For 4 :

15. 45 54 23 82 37 12 76 25 91 BINGO! Complementary and Supplementary Angle

16. SPIN THE WHEEL!

17. Instructions Every group should choose nine answers from the grid and place them randomly into a 3x3 square in a short bond paper. Students could win with a ‘full house’ (all). Note: 15 seconds time will be given to answer each question

18. Correct Answer = 1pt ‘full house’ = 3pts

19. 35 125 19.3 24.7 45.3 135.3 58 114.7 29 119 109.3 148 Choose your numbers…

20. TIGER PANDA DOG DEER FOX DOLPHIN SPIDER CAT BEAR WHALE ZEBRA LION Complementary and Supplementary Angle

21. TIGER The supplement of an angle measuring 55° 125°

22. LION 35° Find the measure of ∠c. 55° ?

23. PANDA The complement of an angle measuring 70.7° 19.3°

24. SPIDER The supplement of an angle measuring 70.7° 109.3°

25. DOG The complement of an angle measuring 61° 29°

26. CAT 119° Find the measure of ∠d. 61° ?

27. DEER 58° Find the measure of ∠b. 32° ?

28. BEAR The supplement of an angle measuring 32° 148°

29. FOX The supplement of an angle measuring 65.3° 114.7°

30. WHALE The complement of an angle measuring 65.3° 24.7°

31. DOLPHIN The complement of an angle measuring 44.7° 45.3°

32. ZEBRA The supplement of an angle measuring 44.7° 135.3°

33. ACTIVITY TIME!

34. Try It! A. What is the COMPLEMENT of each of the angles whose measures are given? 1. 17° 2. 63° B. What is the SUPPLEMENT of each of the angles whose measures are given? 3. 45° 4. 165° C. Find the measure of each angle. Solve: Find the values of two complementary angles A and B such that ∠A = (3x + 17)° and ∠B = (6x + 10)°. 5. Measure of ∠A 6. Measure of ∠B 73° 27° 135° 15° 38° 52°

35. The corners of the walls in your classroom form right angles. Suppose that a line was drawn from the corner to one of the chairs, two angles will be formed. If the first angle measures 35°, what is the measure of the second angle?