Fg ∥ cb, a ∈ fg, d ∈ ab, e ∈ acfind the value of x. give reasons to justify your solutions! , 10 points will be rewarded.

The value of x is .

Step-by-step explanation:

Please look at the figure attached to get more clear solution.

We have given:

FG||CB

And the line that cut the parallel line is transversal so, here BA is transversal

And alternate interior angles on transverse line are equal

So, ∠1=∠4

And ∠4=

Hence,  ∠1=∠4=

And On FG the sum of angles will be

∠3+∠2+∠1=

+∠2+=

Hence, ∠2=

Now, we know that the sum of interior angles is equal to the exterior angle:

Therefore, ∠2+∠5=∠6+∠7

On simplification we get:

Hence, the value of x is .

step-by-step explanation:

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step-by-step explanation: