Given: ∠A and ∠B are supplementary angles. m∠A=4x−16; m∠B=2x+4

Prove: m∠B=68°

Drag and drop reasons into the boxes to correctly complete the proof.

Statement Reason
∠A and ∠B are supplementary angles. Given
m∠A=4x−16; m∠B=2x+4 Given
m∠A+m∠B=180° Definition of supplementary angles
4x−16+2x+4=180 Response area
6x−16+4=180 Simplify.
6x−12=180 Simplify.
6x=192 Response area
x=32 Response area
m∠B=2(32)+4 Substitution Property of Equality
m∠B=64+4 Simplify.
m∠B=68° Simplify.

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step-by-step explanation:

6. 104

7. 52/37

8. 2704

9. 140608

10. -52

11. |52|=52

12. 1/52

13. 156

14. 26

15. 40

16. 37

17. -364

18. 53 1/3

19. 50.96

20. 43 2/3

21. 78

22. 50.75

23. 47.63

24. 163.28

25. 10400

26. 338

27. 208

28. 2704 square inches

29. 312 square meters

30. don't know what its asking, tell me so i can tell you

31. 8490.56

32. 52 degrees would be an acute angle

33. 128 degrees

34. 20.8

35. 39

36. 208