I don't understand where this relation comes from

[senecaonpills]

I don't understand why. Is there some angle formula I don't know about? Or is it vectors? Please explain to me how they got to this formula...

 

[Dr.Peterson]

I don't understand why. Is there some angle formula I don't know about? Or is it vectors? Please explain to me how they got to this formula...

Please explain the picture, and what is known. It may be necessary to state the entire problem this is part of. Since there appear to be two "right angles" that don't look like right angles, I am guessing that this is not all in a plane; but in that case more information would probably be needed. Are the lines parallel, at least?

But if I suppose this is all in a plane and ignore the "perpendicular" lines, then the middle angle marked as [MATH]\frac{\pi}{4}[/MATH] is the sum of two parts, which are congruent to [MATH]\alpha[/MATH] and [MATH]\beta[/MATH] respectively (alternate interior angles), so that [MATH]\alpha+\beta = \frac{\pi}{4}[/MATH], and the conclusion follows easily.

 

[senecaonpills]

This was a part of a physics problem. I thought at first that it was not one plane, I tried solving it by using vectors and what not. But still, nothing came to mind, as there were no other data that could help me with this problem.

Then I realised that I simply messed up the physics part, and everything seemed much easier.
Thank you for your time and help.

 

[Dr.Peterson]

If you need any further help, be sure to show us the entire original problem, as we request:

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Welcome to our tutoring boards! :) This page summarizes main points from our posting guidelines. As our name implies, we provide math help (primarily to students with homework). We do not generally post immediate answers or step-by-step solutions. We don't do your homework. We prefer to help...

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That way we can more easily correct any misunderstandings you might have.

 

[senecaonpills]

If you need any further help, be sure to show us the entire original problem, as we request:

Posting Guidelines (Summary)

Welcome to our tutoring boards! :) This page summarizes main points from our posting guidelines. As our name implies, we provide math help (primarily to students with homework). We do not generally post immediate answers or step-by-step solutions. We don't do your homework. We prefer to help...

www.freemathhelp.com

That way we can more easily correct any misunderstandings you might have.

Thank you again for your help!