Question

Find m/FEG

A.20
B.40
C.60
D.120

Answer 1

The inside angles of the triangle add to equal 180 and so does m/FEG with unknown triangle angle.

x+2x = x+40
2x = 40
x = 20

mFEG
= 20 + 40
= 60

answer C

Answer 2

C. 60

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