The value of the x is 6 and the measure of the angle BGF is 80 degrees after plugging the value of x.
<h3>What is an angle?</h3>
When two lines or rays converge at the same point, the measurement between them is called an "Angle."
It is given that:
From the picture:
In the figure, CA and CE are opposite rays, CHỈ bisects angle GCD and GC bisects angle BGD
The angle will be equal:
angle BGC = angle CGF
7x - 2 = 8x - 8
8x - 7x = 8 - 2
x = 6
The measure of the angle BGC = 7(6) - 2 = 40 degrees
The measure of the angle CGF = 40 degrees
The measure of the angle BGF = 2(angle BGC) = 2(40) = 80 degrees
Thus, the value of the x is 6 and the measure of the angle BGF is 80 degrees after plugging the value of x.
Learn more about the angle here:
brainly.com/question/7116550
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