Question

Please help soon! Thanks! Solve for x

Answer 1

Answer:

$x=27\degree$

Step-by-step explanation:

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

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

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

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

$In\:\triangle BAD,$

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

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

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

$4x= 108\degree$

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

$x=27\degree$