Respuesta :

calculista

Answer:

[tex]x=11[/tex]

Step-by-step explanation:

we know that

If lines f and g are parallel

then

[tex](5x)\°+(9x+26)\°=180\°[/tex] -----> by supplementary angles (consecutive interior angles)

Solve for x

[tex]14x=180-26[/tex]

[tex]14x=154[/tex]

[tex]x=11[/tex]

JeanaShupp

Answer:   11

Step-by-step 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

[tex]5x+9x+26=180\\\\\Rightarrow\ 14x=180-26\\\\\Rightarrow\ 14x=154\\\\\Rightarrow\ x=\dfrac{154}{14}=11[/tex]

Hence, the value of x= 11.

Otras preguntas