Question

4) Find the missing value.

Answer 1

x = 2.2

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,

`((GD))/(2)=<E`

Substitute,

`((6+14x))/(2)=(2x+14)`

Simplify,

`3+7x=2x+14`

Inverse operations,

`3+7x=2x+14\\\\5x = 11\\\\x = 2.2`