Answer :
The value of the missing angle FED is; ∠FED = 175°
How to find the missing angle?
We know that when a line divides an angle, the parts formed by the division of the angle sum up to the total angle before the division. Thus, from the given image, we can say that;
∠FEG + ∠GED = ∠FED
Plugging in the relevant values gives;
45 + x + 130 = 2x + 175
Rearranging gives;
2x - x = 45 + 130 - 175
Thus;
x = 0
Thus;
∠FED = 2(0) + 175
∠FED = 175°
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