Line AE and line DF are parallel. If m∠ABG = 11x and m∠HCF = 10x + 9, what is m∠ABG?

The value of ∠ABG = 99°. The further explanation is given below.

Step-by-step explanation:

The given values are:

m∠ABG

= 11x

m∠HCF

= 10x + 9

As we know, the alternate angles are equivalent:

and,

Here,

⇒  

On substituting the estimated value, we get

⇒          

On subtracting "10x" from b0th sides, we get

⇒  

⇒              

On putting the value of "x" in m∠ABG , we get

⇒  

⇒                

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