Question

Geometry
Find the value of x. The diagram is not to scale.

Answer 1

`x=14`

Explanation:

Since lines
`\overrightarrow{f}` and
`\overrightarrow{g}` are parallel, the angles labelled in the diagram must be supplementary (add up to
`180^(\circ)`). Therefore, we have the following equation:

`4x+(7x+26)=180,\\11x+26=180,\\11x=154,\\x=\boxed{14}`