Question

Hi I really need help with this question I do not know the value of or the measure of

Answer 1

Answer:

$\begin{gathered} x\text{ = 30}\degree \\ \angle F\text{ = 60}\degree \end{gathered}$

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:

$\begin{gathered} 2x\text{ + x + 90 = 180} \\ 3x\text{ + 90 = 180} \\ 3x\text{ = 180-90} \\ 3x\text{ = 90} \\ x\text{ = }\frac{90}{3} \\ x\text{ = 30} \end{gathered}$

Finally, let us get the value of angle F

The angle at F measures 2x

Thus, we have it that:

$\angle F\text{ = 2(30) = 60}$