SOLUTION: The problem consist of a diagram: A is parallel to B and C is parallel to D (A and B are horizontal line; C and D are vertical lines both with slight slant). The angles are numbere

Question 44539This question is from textbook Elemetary Geometry for college students
: The problem consist of a diagram: A is parallel to B and C is parallel to D (A and B are horizontal line; C and D are vertical lines both with slight slant). The angles are numbered as follows (starting from top):On line A is
1 2 3 4
5 6 7 8
On Line B:
9 10 11 12
13 14 15 16
Given: m<9= 2x+17; m<11= 5x-94
Find: x
What I have tried is taking m<9 =m<11 so 2x+17=5x-94 then I took the 2x+17 and moved it to the other side: 5x-94+2x+17=0 simply 7x-77=0. I think this maybe where I'm making a mistake. Can you Help me solve this equation to find x?This question is from textbook Elemetary Geometry for college students

Answer by venugopalramana(3286) (Show Source):
You can put this solution on YOUR website!
THE PROBLEM IS NOT CLEAR..PLEASE MAKE A SKETCH
Given: m<9= 2x+17; m<11= 5x-94
I TAKE IT YOU MEAN
2X+7=M<9........................I
5X-94=M<11.................II
THEN EQN.I HOLDS,AS IF M<9 ,IT IS OBVIOUSLY<11
SO THE SOLUTION SATISFYING BOTH IS
2X+7<9
2X<9-7=2
X<1 IS THE ANSWER

Find: x
What I have tried is taking m<9 =m<11 so 2x+17=5x-94 then I took the 2x+17 and moved it to the other side: 5x-94+2x+17=0 simply 7x-77=0. I think this maybe where I'm making a mistake. Can you Help me solve this equation to find x?