## sloppycanada one year ago Triangle ABC is congruent to triangle XYZ. Angel A measures 50 degrees. Angle B measures (2x+40) and angle Y (4x+8). Find the value of x. How do I set this up proportionally?

1. anonymous

|dw:1435807242985:dw| The vertices correspond. a-x b-y c-z

2. anonymous

then you can set angle b = y and solve for x

x = 8? I can't believe I did not see that. It looks so simple now that you've written it...

4. anonymous

I've been there many a-time :p

Sorry x =16.

6. anonymous

2x=32 x=16 yeah

ABC is congruent to XYZ. A = 50 B = 2x+40, Z = 4x + 8

8. anonymous

you can make C = z then you know that all interior angle triangle angles add up to 180

|dw:1435807481419:dw| Like this?

But I don't have the value of "C"

11. anonymous

c is z remember the congruence statement abc=xyz a=x b=y c=z

12. anonymous

|dw:1435807584943:dw|

13. anonymous

|dw:1435807613008:dw| 50+2x+40+4x+8=180

14. anonymous

that doesn't seem right though

15. anonymous

because I don't get an exact number for x

x = 12?

17. anonymous

\(6x=82\\x=\dfrac{82}{6}=\dfrac{41}{3}\)

|dw:1435807822974:dw|

19. anonymous

6*12 = 72 which leaves 10 remainder

20. anonymous

check the angles to make sure they're right

Oh yeah....

22. anonymous

or if you can give a fraction as an answer 41/3 is fine

Triangle ABC is similar to triangle XYZ. Side AB measures 2, side BC measures x + 5, side CA measures x + 7, side XY measures 4 and side ZX measures 4x – 2. Find the value of x. I'll give with it simplified and the fraction, that way I can't be wrong.

|dw:1435808017048:dw|

25. anonymous

this is different. they're similar not congfruent

Is it a ratio thing?

27. anonymous

yeah

|dw:1435808243519:dw|

29. anonymous

looks good to me.simplify the leftside and then multiply both sides by x+5 to get rid of the deonominator on the right

30. anonymous

or you could just "cross multiply" but that's unnecessary and not actually a technique technically

x = 5.5?

32. anonymous

\(2(x+5)=4x-1\\2x+10=4x-1 \\11=2x\\x=5.5\) looks right

That doesn't work under my answers though, should be 6.33 7.2 5 8

34. anonymous

Triangle ABC is similar to triangle XYZ. Side AB measures 2, side BC measures x + 5, side CA measures x + 7, side XY measures 4 and side ZX measures 4x – 2. Find the value of x. |dw:1435808585813:dw|

35. anonymous

looks like another careless mistake

36. anonymous

:D

Life hates me. x= 8

38. anonymous

looks right

Triangle ABC is similar to triangle FGH. Angle A measures 42 degrees. Angle G measures 49 degrees. Find the measure of angle H.

40. anonymous

similar polygons have equal angles

41. anonymous

so <A = <F <B=<G <C=H

Ohhh okay. So Angle H is 89?

43. anonymous

looks right