determine the value of x.

Question

Using a diagram with 2 parallel lines (7x-14)(degree sign) (5x+20)(degree sign)

Answer 1

parallel lines form angles with the horizontal and these angles are equal in measure

I assume one line forms an angle of (7x-14)º and the other parallel line forms an angle of (5x+20)º

7x-14=5x+20

7x-5x=20+14

2x=34

x=34/2

x=17º

(7*17-14)=(5*17+20)

119-14=85+20

105º=105º

Answer 2

Plot both the lines on a graph they will meet at a point where

 

7x -14 = 5x +20

 

7x - 5x = 20 + 14

 

2x = 36

 

x = 18

 

:)