Question

Find the value of x. The diagram is not to scale. Lines f and g are parallel

Answer 1

Answer: 11

Explanation:

We know that when two lines are parallel and a transversal intersect it , then the adjacent angles form on same side are added up to 180°. (1)

From the given figure , it is given that Lines f and g are parallel .

The pair of adjacent angles formed on same side have measure (5x) and (9x+26)

From (1), we have

`5x+9x+26=180\\\\\Rightarrow\ 14x=180-26\\\\\Rightarrow\ 14x=154\\\\\Rightarrow\ x=(154)/(14)=11`

Hence, the value of x= 11.

Answer 2

`x=11`

Explanation:

we know that

If lines f and g are parallel

then

`(5x)\°+(9x+26)\°=180\°` -----> by supplementary angles (consecutive interior angles)

Solve for x

`14x=180-26`

`14x=154`

`x=11`