Question

In the figure, CA and CE are opposite rays, CHỈ bisects G F H A B C DE If m/BGC = (7x-2) and m/CGF = (8x-8)°, what is m/BGF?
m/BGF=

Answer 1

The value of the x is 6 and the measure of the angle BGF is 80 degrees after plugging the value of x.

What is an angle?

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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Answer 2

$m\angle BGF=80^{\circ}$