1. ANGLE AND LINE
By: NIKMATUL HUSNA

2. SUPPLEMENTARY
AOC +  BOC =  AOB a0 + b0 = 1800 We can write a0 = b0 or b0 = a0

3. Conclusion : The sum of supplementary angle is 1800.
An angle is the supplement of another angle

4. COMPLEMENTARY
PQS +  RQS =  PQR X0 + Y0 = 900 We can write X0 = Y0 or Y0 = X0

5. Conclusion : The sum of complementary angle is 900.
An angle is the complement of another angle

6. OPPOSITE ANGLE POQ and  SOR are opposite angle.
POQ =  SOR
POS =  QOR
POQ and  SOR are opposite angle.
POS and  QOR are opposite angle.

7. Conclusion :
The measure of opposite angle is same

8. Opposite Angles 1 and 7 2 and 8 3 and 5 4 and 6
1 = 7, 2 = 8, 3 = 5, 4 = 6

9. Alternate Interior Angles Alternate Exterior Angles
Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
Consecutive Interior Angles
Consecutive Exterior Angles 1 2 3 4 5 6 7 8 t

10. Corresponding Angles 4 and 2 3 and 1 5 and 7 6 and 8t 1
4 = 2, 3 = 1, 5 = 7, 6 = 8

11. Alternate Interior Angles
3 and 7
2 and 6 5 6 4 7 3 8 2 t 1
3 = 7 and2 = 6

12. Alternate Exterior Angles
5 and 1
4 and 8 5 6 4 7 3 8 2 t 1
5 = 1 and4 = 8

13. Consecutive Interior Angles5
3 and 2
6 and 7 6 4 7 3 8 2 t 1
3 +2 = 1800 and 6 +7 = 1800

14. Consecutive Exterior Angles5
4 and 1
5 and 8 6 4 7 3 8 2 t 1
4 + 1 = and 5 + 8 = 1800

15. Example : Look at the picture. Given  1 = 750 and Find: 1  5 2  6
1  5
2  6
3  7
4  8 1 2 3 4 5 6 7 8 t

16. Answer :
1 = 750  5 = 750
2 = 1050  6 = 1050
3 =  7= 750
4 =  8= 1050

17. Example : Look at the picture. Given  1 = (3x+45)0 and
Find:
1  5
2  6
3  7
4  8 1 2 3 4 5 6 7 8 t

18. Answer : 1 + 4 =1800 (3x+45)0 + (5x+23)0 =1800
1 + =1800
(3x+45)0 + (5x+23)0 =1800
3x 0+ 5x =1800
8x = – 230
8x =112 0
x = 140

19. 1=(3x+45) = 3 X = = 870
 4= = 930
 2= 930
 3= 870
 5= 870
 6= 930
 7= 870
 8= 930