Finding angle B in a triangle given angle C is 55 degrees

[hvidales]

Homework Statement

Find angle B

Homework Equations

Triangle makes 180 degrees

The Attempt at a Solution

I brought the red vector(Red Vector was given) down more to make a right triangle and got 55 degrees for C. I do not know where to go from there though to get angle B. Angle B is also 35 degrees but I don't know how they got that.
[url=http://postimage.org/][PLAIN]http://s17.postimage.org/6onxtnlbz/Untitled.png[/url][/PLAIN]

 

[eumyang]

The line labeled "x" is parallel to the slope incline. The lines labeled "x" and "y" are presumably perpendicular. You should be able to take it from there.

 

[SammyS]

Homework Statement

Find angle B

Homework Equations

Triangle makes 180 degrees

The Attempt at a Solution

I brought the red vector(Red Vector was given) down more to make a right triangle and got 55 degrees for C. I do not know where to go from there though to get angle B. Angle B is also 35 degrees but I don't know how they got that.

[url=http://postimage.org/][PLAIN]http://s17.postimage.org/6onxtnlbz/Untitled.png[/url][/PLAIN]

What angle does the x-axis make with the y-axis ?

 

[hvidales]

What angle does the x-axis make with the y-axis ?

90 degrees

 

[SammyS]

90 degrees

Then, what is the sum of (angle B) + (angle C) ?

 

[hvidales]

Then, what is the sum of (angle B) + (angle C) ?

would it be 90 too? I also had another question, the angle where B is at, is that whole piece a another right triangle?

 

[eumyang]

See attachment. I labeled another angle, D, in blue. Given that the line labeled "x" and the slope incline are parallel, what can you say about angles C and D?

 

[hvidales]

Are they equal to each other?

See attachment. I labeled another angle, D, in blue. Given that the line labeled "x" and the slope incline are parallel, what can you say about angles C and D?

 

[eumyang]

Are they equal to each other?

Yes.

 

[hvidales]

Yes.

oh so these are two parallel lines cut by a transveral right?

 

[eumyang]

oh so these are two parallel lines cut by a transveral right?

Again, yes.