The supplement of an angle is twice the meausurement of the angle. find the measurement of the smaller angle

Hello from MrBillDoesMath!

60

Discussion:

Let the angle be @. The supplement of the angle is 180 - @ and we are told it equals [email protected] That is,

180 [email protected] = [email protected]                     => add @ to both sides

180       = [email protected] [email protected]              => [email protected] [email protected] = [email protected]

180       = [email protected]                    => divide both sides by 3

180/3 = @

@ = 60

Check: the supplement of an angle (which is 180 - @ - 180 -60 = 120) is twice the measure of the angle (@ = 60 and [email protected] = 120). Indeed, they agree.

Thank you,

MrB

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068

(-5,-28)

i graphed to on desmos.