When two angles are
added together, they
form a 90° angle. one
of the angles is 1/2 the
other. how large is the
smaller angle?

30 degrees

Step-by-step explanation:

this can be expressed by x+y=90.

1/2y=x

multiply both sides by two to isolate y

y=2x

now sub in 2x for y in the first equation

x+2x=90, 3x=90, divide both sides by 3 to isolate x,

x=90/3=30

now subtract the value of x from 90 to find y

90-x=y, 90-30=y, 60=y

the smaller angle is 30 degrees.

2

step-by-step explanation:

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