find x, given lines and angles, etc.

[atlista]

Ok so I have this problem that is making me angry, I can't figure it out!!

This is what YOU should do, since I can't really post a picture of the actualy diagram.

1. Draw a big X so it looks like what they call "two intersecting lines"
2. On the top angle put (6z+4)
3. On the bottom angle put (8w)

The top and bottom angle are =

4. The right angle is (3x+2y)
5. The left angle is (5z)

These right and left angles are also =

All of these angles have values but have been replaced with x y w z.

What is the value of W?

Show reasoning.

 

[arthur ohlsten]

1)
6z+4+5z=180

11z+4=180
11z=176
z=16

2)
6z+4=6[16]+4
6z+4=100

3)
8w=100
w=12.5 answer

Arthur

 

[soroban]

Re: HELP!!

Hello, atlista!

Did you follow Arthur's reasoning?

      *                             *
         *                        *
            *          T        *
               *              *
                  *  6z+4   *
                     *    *
             L   5z     *   3x+2y  R
                      *    *
                    *   8w    *
                  *              *
                *        B          *
              *                        *

   What is the value of w ?

Note that: \(\displaystyle T\,+\,L\:=\:180\)
. . Hence: \(\displaystyle \:6z\,+\,4\,+\,5z\:=\:180\;\;\Rightarrow\;\;11z\:=\:176\;\;\Rightarrow\;\;z\:=\;16\)

Note that: \(\displaystyle B\:=\:T\)
. . Hence: \(\displaystyle \:8w\:=\:6z\,+\,4\;\;\Rightarrow\;\;8w\:=\:6(16)\,+\,4\;\;\Rightarrow\;\;8w\:=\:100\)

Therefore: \(\displaystyle \:w\:=\:\frac{100}{8}\:=\:\fbox{12.5^o}\)

 

[atlista]

man! thanks sooo much! good answers guys!

 

[stapel]

...what they call "two intersecting lines"

"What they call intersecting lines"...? Are you not familiar with any of this terminology? (It's standard English, and also should have been covered at length in your class, is why I ask.)

Thank you.

Eliz.

 

[arthur ohlsten]

you are welcome
Arthur