Prove Perpendicular Lines

[Jazsdad]

Hello again,

Develop a flow proof to prove the following

Given yx I wz (the I stands for perpendicular)

prove m<1+m<2 I m<WXZ

x
l /
w----------------------l2/1---------------z

 

[Unco]

                         x
                         l  /
w----------------------l2/1---------------z

I'm having trouble interpreting this.

Ok so "l2/1" is y, but where abouts is m?

 

[Jazsdad]

sorry about my drawing it shifted and I didn't knkow how to adjust it.

M measure of angle 1 and measure of angle 2

Angle is an acute angle approx 30 degrees and angle 2 is an acute angle approx 60 degrees I am only guessing about the measurements. (eyeballing a drawing)

Givens are a perp line xy to horizontal line wyz with ray extending from y at a 30 degree angle (approx)

hope the explanation helps

still learning about this site....

 

[Unco]

Sorry, I'm still confused. That's mostly my fault so I need your help.

Try typing out your best effort in Notepad (I mean a diagram like you have) and copy and pastr it between [ code ] tags (no spaces). I can't see what's happening with angle 1 and 2.

And
"M [is a] ]measure of angle 1 and measure of angle 2" is ok?

 

[soroban]

Hello, Jazsdad!

Sorry, neither the problem nor your diagram is clear . . .

Develop a flow proof to prove the following

Given: \(\displaystyle yx \perp wz\)

Prove: \(\displaystyle m(\angle1)\,+\,m(\angle2)\:\perp\:m(\angle WXZ)\) . ?

             y
             |    /
             |  /           Does it look anything like this?
             |2/1
w------------+----------z
             x

I'm not clear on how the sum of two angles can be perpendicular to another angle.

 

[Jazsdad]

Yes

Hello Soroban,

Your diagram looks exactly the way mine was supposed to look!

 

[Unco]

Yeah, he's awesome (Grissom is just so-so). "Mathematical forensic scientist" is the correct title, I think.

The trouble is that lines can be perpendicular, but angles can't. Angles sum to 90deg and are complementary, for instance. Is there anything you can add/amend?