If shown, line AB and line CD are straight lines. Find x in each case.
![If shown line AB and line CD are straight lines Find x in each case class=](https://us-static.z-dn.net/files/d7d/bc87a8a10e92bdd5b175bb694cacda0b.png)
Answer:
x = 45
Step-by-step explanation:
To find x, derive an equation from the figure given.
Angles on a straightline = 180°. Therefore:
[tex] 15 + x + 2x + 120 - 2x = 180 [/tex]
Combine like terms
[tex] 15 + 120 + x + 2x - 2x = 180 [/tex]
[tex] 135 + x = 180 [/tex]
Subtract 135 from both sides
[tex] 135 + x - 135 = 180 - 135 [/tex]
[tex] x = 45 [/tex]