Answer:
[tex]\begin{gathered} x\text{ = 30}\degree \\ \angle F\text{ = 60}\degree \end{gathered}[/tex]
Explanation:
Here, we want to get the value of x
Let us consider the triangle EFG
From what we see, the angle at G is a right angle
The sum of angles in a triangle is 180 degrees
Mathematically, we have it that:
[tex]\begin{gathered} 2x\text{ + x + 90 = 180} \\ 3x\text{ + 90 = 180} \\ 3x\text{ = 180-90} \\ 3x\text{ = 90} \\ x\text{ = }\frac{90}{3} \\ x\text{ = 30} \end{gathered}[/tex]
Finally, let us get the value of angle F
The angle at F measures 2x
Thus, we have it that:
[tex]\angle F\text{ = 2(30) = 60}[/tex]
