Question

PLEASE HELP!!!!! (drawing attached)
"For the two intersecting lines in the drawing, which of the following must be true?"

(A) a>c
(B) a = 2b
(C) a+60 = b+c

Please explain why the answer to this questions is: "Only B and C are true."

Thanks! =)

Answer 1

Well, if we use the idea that a line will always create an angle of 180 degrees, we can see:
a + 60 = 180,
a + b = 180,
b + c = 180, and
c + 60 = 180

Answer 2

Okay, I do get that, but why would a=2b ?

Answer 3

Well, let's solve for a:
a + 60 = 180 subtract 60 from both sides:
a = 120

Then, if we solve for b in a + b = 180, using a = 120:
120 + b = 180
b = 60

If we double b, it'll be the same as a: 2b = a

Answer 4

OH, I see! Okay - that makes sense. Well - thank you so much for taking your time to explain it! I really do appreciate it! :)

Answer 5

You're welcome! I'm glad to help. :)

Answer 6

Thanks - you're really good at it! :)

Answer 7

Hmm, thanks. :P
Geometry is my favorite type of Math so far. :D

Answer 8

Ha, ha - I know what you mean! I enjoy it the most (well . . I also enjoy Algebra1, as well), too. It's much more creative!

Answer 9

Yeah. Some of my favorite problems come from Geometry. :D
Like one about a length of cable to attach a cylinder to a flatbed: truck

Having to find the length of the entire cable given only that radius. (This was a problem I encountered on OS :D)

Answer 10

Oh, and that the angle in the corner was 60 degrees. lol