Fine the value of X

9514 1404 393

Step-by-step explanation:

Assuming the lines that look parallel are parallel, all of the acute angles are congruent, and all of the obtuse angles are congruent. Any obtuse angle is the supplement of any acute angle.

∠C = ∠F

3x -10 = x +70 . . . . substitute the given values

2x = 80 . . . . . . . . . add 10-x

x = 40

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∠D +∠F = 180

(x +27) +(2x -39) = 180 . . . . substitute

3x -12 = 180 . . . . . . . . . . . . . simplify

x -4 = 60 . . . . . . . . . . . divide by 3

x = 64 . . . . . . . . . add 4

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∠B = ∠G

2(x +40) = 5x +44 . . . . . substitute

2x +80 = 5x +44 . . . . . . simplify

36 = 3x . . . . . . . . subtract 2x+44

12 = x . . . . . . divide by 3

Additional comment

If you use the given values of x to find the angle measures, you quickly see that the figure is not drawn to scale, and that angles shown as acute may actually be obtuse.

282 6/7 cm^2

step-by-step explanation:

the correct answer is the second option