Question

What common angle do CDG AND FCE share?

FBG is congruent to DBE
CEF is congruent to CGD
CDG is congruent to CFE
GCE is congruent to ECG

Answer 1

The correct option is 4.

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