Finding Angle B in Triangle: Step-by-Step Guide

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Homework Help Overview

The discussion revolves around finding angle B in a triangle, with the context of triangle properties and relationships between angles. The original poster attempts to understand how to derive angle B given that angle C has been determined to be 55 degrees.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationships between angles in a triangle, particularly focusing on the sum of angles and the implications of parallel lines and transversals. Questions arise regarding the nature of the angles involved and the reasoning behind their measurements.

Discussion Status

There is ongoing exploration of the relationships between angles B, C, and the implications of the triangle's properties. Some participants have provided insights regarding angle relationships, but there is no explicit consensus on the method to find angle B.

Contextual Notes

Participants are working with a diagram that is referenced but not visible in the discussion. There is mention of assumptions regarding parallel lines and perpendicular angles, which may influence the reasoning process.

hvidales
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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]
 
Last edited by a moderator:
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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.
 
Last edited:
hvidales said:

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 ?
 
Last edited by a moderator:
SammyS said:
What angle does the x-axis make with the y-axis ?

90 degrees
 
hvidales said:
90 degrees

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

Attachments

  • Incline.png
    Incline.png
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Are they equal to each other?
eumyang said:
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 said:
Are they equal to each other?
Yes.
 
  • #10
eumyang said:
Yes.

oh so these are two parallel lines cut by a transveral right?
 
  • #11
hvidales said:
oh so these are two parallel lines cut by a transveral right?
Again, yes.
 

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