## anonymous 4 years ago Find the value of x.

1. anonymous

2. saifoo.khan

Do u know the total interior angle of a pentagon?>

3. anonymous

Not really:/

4. saifoo.khan

Ok, so it's necessary that u know the total interior angle of the pentagon. So the first step is to find it. Use the formula \[{180(n-2)}\]Where n is the number of sides.

5. saifoo.khan

So, u have 5 sided figure. so what will be the value of "n" be?

6. anonymous

Erm, I have no idea and I don't wanna guess.

7. precal

Seems like they also, don't want to do any math?????

8. anonymous

More like don't understand it.

9. precal

How many sides is your figure? that is your n value, sub it into the formula he gave you and that will tell you how many degrees your figure is made up of

10. anonymous

Ohhh thanks!:)

11. anonymous

So n is 5, correct?

12. precal

yes

13. precal

add up all of your interior angles and set it equal to that number and solve for x

14. anonymous

So substituted 180(n-2) is 180(5-2) which is 180(3) then 540?

15. precal

yes set it equal to 540

16. anonymous

So what does the formula look like now and what's my next step?

17. precal

all up all the given interior angles here is a hint the little box represents a right angle and that is 90 degrees 90 + 112 + ..........finish=540 solve for x

18. anonymous

Is it 90x or 112x?

19. precal

really????

20. precal

Name all of the angles (Hint: Look at the picture you posted) Start with 90 degrees

21. anonymous

Is it 67.5 or 68?

22. precal

what equation did you use? I am still waiting for you to tell me all of the angles listed on your picture.

23. anonymous

Angles are 148,112, 2x+10 and 2x right? I'm so bad at this.

24. precal

but you forgot 90 degrees that is what the little box means

25. precal

90 + 112 + 148+ 2x+10+2x=540 solve for x

26. anonymous

Ah yes, 90! Forgot that!

27. precal

ok solve for x

28. anonymous

x=13.5 ish

29. anonymous

Can you help me with one mor question?!

30. precal

there is no ish in mathematics 90 + 112 + 148 + 2x+10+ 2x=540 360 + 4x=540 -360 -360 4x=180 divide both sides by 4 x=45

31. precal

well post it, if I can help I will

32. anonymous

Give the name that best describes the parallelogram and find the measures of the numbered angles.

33. anonymous

34. anonymous

Ahh, I added the formula wrong.

35. precal

ok angles 1, 3 are the same value angles 2, 4 are the same value by the alternate interior angles triangles equal up to 180 degrees 180-116=64 degrees

36. precal

2 and 3 add up to 64 degrees

37. precal

Triangle is an isoceles and those angles are equal ie 2 and 3 are equal so what do you think the answer is

38. anonymous

64

39. precal

angle 2 and 3 are the same value they both add up to 64

40. anonymous

then 128

41. anonymous

oh wait lol, 32

42. precal

I was beginning to worry yes 32

43. anonymous

Yay! Thank you so much!:)

44. precal

Anytime :)