How Do You Calculate Angle 2 in a Physics Vector Problem?

[hvidales]

Homework Statement

Homework Equations

The Attempt at a Solution

So angle 1 was giving and through that they found angle 2. I need help on how they found angle 2. The dark red arrow is a vector. This is a physics problem asking for something else but I got stuck here lol.

Homework Statement

Homework Equations

The Attempt at a Solution

Homework Statement

Homework Equations

The Attempt at a Solution

 

[azizlwl]

Add another line parallel to ground intersect x-y origin.

 

[ehild]

The angles are congruent as their arms are pairwise perpendicular. The red vector is vertical, makes a right angle with the horizontal arm of angle 1. The other arm of angle 2 is perpendicular to the slope which is the other arm of angle 1. See picture: β=90-(90-α)=α.

ehild

 

[hvidales]

What happened with the x axis? I updated the picture to look better.


[url=http://postimage.org/][PLAIN]http://s17.postimage.org/h2qbp828v/Untitled.png[/url][/PLAIN]