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PLS HELP AS SOON AS POSSIBLE!!! WILL AWARD BRAINLIEST AND 20 POINTS!!! Also the answer is NOT 22.5 degrees!

Find the value of x in each case:

PLS HELP AS SOON AS POSSIBLE WILL AWARD BRAINLIEST AND 20 POINTS Also the answer is NOT 225 degrees Find the value of x in each case class=

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boffeemadrid

Answer:

x=0.392 radians

Step-by-step explanation:

Since DE is parallel to AB, then ∠DEA=∠EAB=2x (Alternate angles).            (1)

Also, ∠FEB+∠AEB=180°(Straight line property)

⇒4x+∠AEB=180°

⇒∠AEB=180°-4x                                                           (2)

Also, ∠EBA+∠EBC=180°

⇒∠EBA=180°-6x                                                           (3)

Now, using equations (1), (2) and (3) and the angle sum property in ΔABE, we get

∠EAB+∠AEB+∠EBA=180°

2x+180°-4x+180°-6x=180°

⇒360°-8x=180°

⇒180°=8x

⇒x=22.5°

⇒x=0.392 radians

which is the required value of x.

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