Question

Find the measure of ∠DFG.

A)24°
B)34°
C)58°
D)62°

Answer 1

The measure of ∠DFG is 58°

Explanation:

To Find :Find the measure of ∠DFG.

Solution :

In ΔDEF

∠DEF + ∠∠FED = ∠DFG (Exterior angle property )

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

`24^(\circ)+34^(\circ)=\angle DFG`

`58^(\circ)=\angle DFG`

So, Option C is true

Hence the measure of ∠DFG is 58°

Answer 2

C)58°

Explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

DFG = D+E

DFG = 24+34

DFG = 58