Question

In quadrilateral DEFG, the angles ∠DEF and ∠DGF do not have any common arm. ∠DEF and ∠DGF lie opposite to each other. Hence they are the opposite angles of a quadrilateral.
Name the other opposite angles in the figure.
1. Angle opposite to ∠EFG is ...............
2. Angle opposite to ∠FGD is ..............

Answer 1

1. Angle opposite to angle EFG is angle EDG

2. Angle opposite to angle FGD is angle DEF

Answer 2

Answer:

1. Angle opposite to ∠EFG is ∠EDG

2. Angle opposite to ∠FGD is ∠FED

Step-by-step explanation:

In the given question,

A quadrilateral DEFG is given,  such that the angles ∠DEF and ∠DGF do not have any common arm.

∠DEF and ∠DGF are the opposite angles of a given quadrilateral.

We can see that from the figure,

∠EDG and ∠EFG is the opposite angle to each other.

Also we can conclude that

∠EDG and ∠FED are the opposite angles of ∠EFG and ∠FGD respectively.

Hence,

1. Angle opposite to ∠EFG is ∠EDG

2. Angle opposite to ∠FGD is ∠FED