Answer:
<h2>x = 12</h2>
Step-by-step explanation:

First of all multiply through by 5 to eliminate the fraction
That's

Next using the addition property add 4 to both sides of the equation
We have

<u>Divide both sides by 2</u>

We have the final answer as
<h3>x = 12</h3>
Hope this helps you
Answer:
Step-by-step explanation:
From the picture attached,
a). Triangle in the figure is ΔBCF
b). Since,
and
are the parallel lines and m is a transversal line,
m∠FBC = m∠BFG [Alternate interior angles]
Since,
and
are the parallel lines and n is a transversal line,
m∠BCF = m∠CFE [Alternate interior angles]
By triangle sum theorem in ΔBCF
m∠FBC + m∠BCF + m∠BFC = 180°
From the properties given above,
m∠BFG + m∠CFE + m∠BFC = 180°
m∠GFE = 180°
Therefore, angle GFE is the straight angle that will be useful in proving that the sum of the measures of the interior angles of the triangle is 180°.