Question

Find the value of x. ​

Answer 1

Answer:

x = 55

Step-by-step explanation:

angle EAF=60 degree

BAC=60 degree (vertically opposite angle)

Now

angle BAC+angle B = 115 =60 degree + x ( exterior angle property of triangle)

115-60 degree = 55 degree.

Answer 2

Answer:

answer is 55°

Step-by-step explanation:

∠ AEF = 60°

let ∠ A be ∠1

∴ ∠ ABC = 60° (  V.O.A) i.e ∠1=60° vertically opposite angles

now let ∠C be ∠2

ext ∠C= 115°

∠CBA= 180°-115°= 65° i.e ∠2=65° (L.P) linear pair

now adding ∠x+∠1+∠2

∠x+∠1+2= 180° ( A.S.P) angle sum property

∠x+ 60°+65°= 180°

∠x+125°= 180°

∠x= 180°-125°

∠x = 55°

∴ ∠x = 55°

hope it helps

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