The sum of the interior angles of a hexagon is equal to the sum of six consecutive integers. what is the measure of the smallest interior angle of the hexagon

115°

Step-by-step explanation

A hexagon is a six sided polygon.

The total sum of internal angles in a hexagon is 720°

Given that this sum is equal to sum of six consecutive integers;

Lets write the 6 consecutive integers

m, m+2, m+4, m+6, m+8, m+10

Finding the sum

m+m+2+m+4+m+6+m+8+m+10=6m+30

Form equation

(6m+30)°=720°

6m=720°-30°

6m=690°

m=690°/6=115°

Answer

The smallest interior angle of the hexagon is 115°

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