Question

What is the value of FDE given the following image

Answer 1

We will have the following:

From the graph we will have that:

`<\text{CDF}+<\text{FDE}=90`

Thus:

`(2x)+(x+9)=90\Rightarrow3x+9=90`
`\Rightarrow3x=81\Rightarrow x=27`

Then we will have that the angle FDE is:

`<\text{FDE}=(27)+9\Rightarrow<\text{FDE}=39`

So, angle FDE is 36°.