Question

Please help soon! Thanks! Solve for x

Answer 1

`x=27\degree`

Explanation:

`\because AC || DE.... (given)`

`\therefore m\angle CAD= m\angle EDF\\ (corresponding \: \angle s)`

`\therefore m\angle BAD= m\angle EDF\\(\because B\in \overleftrightarrow{AC})`

`\therefore m\angle BAD= 2x\\(\because m\angle EDF=2x)`

`In\:\triangle BAD,`

`m\angle BAD+m\angle BDA+m\angle ABD= 180\degree`

`2x+2x+72\degree = 180\degree`

`4x= 180\degree -72\degree`

`4x= 108\degree`

`x= \frac {108\degree}{4}`

`x=27\degree`