Answer:
x = 2.2
Step-by-step explanation:
As per the given drawing, (<E) is a peripheral angle, meaning it is formed by a secant and a tangent line. The peripheral angles theorem states that a peripheral angle is equal to half the measure of intersecting arc. One can apply this here by stating the following,
[tex]\frac{(GD)}{2}=<E[/tex]
Substitute,
[tex]\frac{(6+14x)}{2}=(2x+14)[/tex]
Simplify,
[tex]3+7x=2x+14[/tex]
Inverse operations,
[tex]3+7x=2x+14\\\\5x = 11\\\\x = 2.2[/tex]
