Question

What common angle do CDG AND FCE share?

Answer 1

Answer:

The correct option is 4.

Step-by-step explanation:

From the given figure it is noticed that the triangle CDG and triangle FCE have a common vertex C. So both triangle are sharing same angle at vertex C.

In triangle CDG and triangle FCE

$\angle GCD\cong \angle FCE$

If the length of two adjacent sides increases, then the inclined angle remains the same.

If the side CD increased to E and side CF increased to G, then

$\angle GCE\cong \angle ECG$

Therefore option 4 is correct.

Answer 2

Triangle CGD and triangle CEF both share the same angle at point C.
This means angle GCE equals to angle ECG

Answer: GCE is congruent to ECG