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Find the value of x in each case

Find the value of x in each case-example-1
User Lukiller
by
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1 Answer

16 votes
16 votes

Answer:

Explanation:

∠AEB + ∠FEC = 180 {linear pair}

∠AEB = 180 - 4x

DE // AB , AE is transversal,

∠EAB = ∠DEA {Alternate interior angles}

∠EAB = 2x

∠EBC = ∠AEB + ∠EAB {Exterior angle property}

6x = 180 - 4x + 2x

6x = 180 - 2x

Add 2x to both sides

6x + 2x = 180

8x = 180

x = 180/8

x = 22.5

User Mohammad Ali Rony
by
3.0k points