Answer:
C. 60
Step-by-step explanation:
Here we have to use Triangle exterior angle theorem.
Which states an exterior angle of a triangle is the sum of the opposite interior angles.
In the given triangle.
m∠FEG is an exterior angles.
Its two opposite interior angles are ∠G and ∠D
∠G = 2x and ∠D = x
According to the theorem, we get
m∠FEG = m∠G + m∠D
Now plug in the given values in the above statement, we get
x + 40 = 2x + x
Now let's find the value of x.
Simplifying the like terms, we get
x + 40 = 3x
Subtract x from both sides, we get
x - x + 40 = 3x - x
40 = 2x
2x = 40
Dividing both sides by 2, we get
x = 20
The value of x = 20
We need to find the m∠FEG. Replace x by 20, we get
m∠FEG = x + 40
m∠FEG = 20 + 40
m∠FED = 60 degrees.
Answer: C. 60
